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WorksheetsExperimental and Theorethical probability
Total questions: 193
Worksheet time: 8hrs 20mins
Sam spins the spinner 6 times and lands on an odd number 4 times. Which statement correctly compares the experimental and theoretical probabilities of getting an odd number?
The experimental and theoretical probabilities are equivalent.
The experimental probability is greater than the theoretical probability by 1/6
The experimental probability is less than the theoretical probability by 1/6
The experimental probability is greater than the theoretical probability by 1/3
Antonio spins the spinner 12 times and lands on yellow 3 times. What is the difference between the experimental and theoretical probabilities of landing on yellow?
1/12
3/12 = 1/4
2/12 = 1/6
4/12 = 1/3
The bar graph shows the results of spinning the spinner 200 times. What is the theoretical probability of landing on a 4 ?
The bar graph shows the results of spinning the spinner 200 times. What is the experimental probability of landing on a 3?
What type of probability is a way of estimating the probability of an event happening based on repeated trials?
Experimental Probabillity
Theoretical Probability
Kate knows the theoretical probability of landing on each number is 1/4. She spun the spinner 8 times and landed 2 times on #1, 3 times on #2, 2 times on #3 and 1 times on #4. Which number/s best matched the expected results?
#1 on spinner
#2 on spinner
#3 on spinner
#4 on spinner
Victor tossed a coin 12 times and recorded his results. He landed on head 7 times and landed on tails 5 times. Based on the results, which statement is true?
The number of tails tossed was GREATER than the number he was expected to toss.
The number of tails tossed was the SAME as the number he was expected to toss.
The number of tails tossed was LESS than the number he was expected to toss.
Ellen flipped a coin 80 times. The coin landed heads up 44 times and tails up 36 times. The difference between the experimental probability and the theoretical probability is?
55%
5%
50%
45%
The table shows the letter grades in science class for a random sample of 300 sixth grade students. Find the relative frequency for Passing (D or better)?
20%
15%
85%
80%
What is the Theoretical Probability of NOT landing on red?
The arrow is spun 15 times and landed 4 times on the section labeled Q. Which statement is true?
Use the spinner to find the probability.
P(not D) =
5
5/6
0.63
1/6
Use the spinner to find the probability.
P(2 or 3) =
1/4
3/8
2
2/4
Taylor flips a coin 25 times and it lands on heads 13 times. What is the experimental probability of flipping a coin and landing on heads?
1/2
1/13
25/13
13/25
You roll a dice 10 times and it lands on an even number 4 times. What is the experimental probability of rolling a die and landing on an even number?
1/10
1/2
4/10
2/5
Alexys shoots 50 free throws and makes 32. What is the experimental probability of Alexys making a free throw?
1/2
32/50
16/25
50/32
If the spinner was spun 50 times and landed on 11 fifteen times, which statement is true?
The experimental probability of landing on 11 is 1/8 while the theoretical probability of landing on 11 is 3/10
The theoretical probability of landing on 11 is greater than the experimental probability
The experimental probability of landing on 11 is greater than the theoretical probability of landing on 11
The theoretical probability of landing on 11 is equal to the experimental probability of landing on 11
The arrow of this spinner was spun 60 times. On 45 out of 60 times, the arrow landed on a section labeled with a multiple of 4. What was the experimental probability of the arrow landing on a section labeled with a multiple of 4?
Several students tossed a coin several times and the results were recorded in a table. Which table shows an experimental probability of landing on tails that is the closest to the theoretical probability of landing on tails?
A standard 6-sided die is tossed 90 times. The results are recorded in the table. What number had an experimental probability that matched its theoretical probability?
1
2
3
4
5
Craig has a six-sided number cube. He rolls it 250 times and records data in this table. Which number has a larger theoretical probability than experimental probability?
1
2
3
4
5
The arrow is spun 15 times and landed 4 times on the section labeled Q. Which statement is true?
Choose the statement that is true about the experimental and theoretical probability of rolling a number cube 20 times.
The experimental probability of rolling 3 is 1/6 and the theoretical probability is 3/20
The experimental probability of rolling 3 is 3/20 and the theoretical probability is 1/6
The experimental probability of rolling 1 is greater than the theoretical probability
The experimental probability of rolling 6 is 1/6 and the theoretical probability of rolling 6 is 1/4
If the spinner was spun 50 times and landed on 11 fifteen times, which statement is true?
The experimental probability of landing on 11 is 1/8 while the theoretical probability of landing on 11 is 3/10
The theoretical probability of landing on 11 is greater than the experimental probability
The experimental probability of landing on 11 is greater than the theoretical probability of landing on 11
The theoretical probability of landing on 11 is equal to the experimental probability of landing on 11
Which inequality is represented by the following graph
x < -8
x > -8
x ≥ -8
x ≤ -8
-5m < 10
Which of the following situations shows the need to flip the inequality sign?
3x<−9
−4x>8
x−2≤−4
x−−1≥6
1) Jack tossed a coin three times. Which tree diagram shows all the possible outcomes of the coin landing heads up or tails up?
A
B
C
D
You have a 3 tops, 2 pants and 2 shoes. How many total outfit options are represented?
12 outfits
22 outfits
3 outfits
7 outfits
Given: Set R = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
The probability of having 10?
1/ 12
1/6
1/4
1/2
0
Given: Set R = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
The probability of having 13?
1/ 12
1/6
1/4
1/2
0
Given: Set R = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
The probability of having odd number?
1/ 12
1/6
1/4
1/2
0
Given: Set R = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
The probability of having odd number divisible by 3?
1/ 12
1/6
1/4
1/3
1/2
Given: Set R = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
The probability of having a two number who's sum is equal to 12?
5/ 12
5/6
1/4
1/3
1/2
A bowl of flower seeds contains 5 petunia seeds and 15 begonia seeds. Riley calculated the probability that a randomly selected seed is a petunia seed as . Describe and correct Riley’s error
There are 20 seventh graders and 15 eighth graders in a club. A club president will be chosen at random.
a. Compare the probabilities of choosing a seventh grader or an eighth grader.
b. If a student from one grade is more likely to be chosen than a student from the other, is the method unfair? Explain.
probability that is based on the actual results of an experiment
theoretical
experimental
probability that is based on expected or calculated results
theoretical
experimental
Brianna has a bag of marbles. There are 6 red, 7 white, 3 black, and 4 green marbles. Choose the statement that is FALSE.
It is impossible that Brianna will draw a blue marble
It is more likely that Brianna will draw a black marble than a green marble
It is certain that she will draw either a red, white, black, or green marble
It is unlikely that she will draw a black marble.
Brianna has a bag of marbles. There are 6 red, 7 white, 3 black, and 4 green marbles. What is the probability of choosing a red marble?
P(red) = 41
P(red) = 103
P(red) = 53
Brianna has a bag of marbles. There are 6 red, 7 white, 3 black, and 4 green marbles. What is the probability of choosing a black marble?
P(black) = 41
P(black) = 103
P(black) = 203
80 people draw a marble out of a bag and put it back. The results are: 34 red, 18 white, 9 black, and 19 green. What is the experimental probability of drawing a white marble?
409
809
3418
The probability of pulling a green marble out of the bag is 20%. Predict how many times a green marble would be pulled after 50 times.
20 times
5 times
10 times
What is true about a probability model? (select all that apply)
All the probabilities add up to 1
They show the probability one event
They have a sample space
All the probabilities are greater than 1
Rachel plays a game by rolling two number cubes with sides numbered 1 through 6. There are 36 possible outcomes. To win the game, the sum of the numbers facing up must be 11. What is the probability that Rachel will win the game?
61
181
3611
Rachel plays a game by rolling two number cubes with sides numbered 1 through 6. There are 36 possible outcomes. To win the game, the sum of the numbers facing up must be 3. What is the probability that Rachel will win the game?
61
181
3611
What is an event that will happen or has a probability of 1?
theoretical
probability
mutually exclusive
certain
Sam spins the spinner 6 times and lands on an odd number 4 times. Which statement correctly compares the experimental and theoretical probabilities of getting an odd number?
The experimental and theoretical probabilities are equivalent.
The experimental probability is greater than the theoretical probability by 1/6
The experimental probability is less than the theoretical probability by 1/6
The experimental probability is greater than the theoretical probability by 1/3
Antonio spins the spinner 12 times and lands on yellow 3 times. What is the difference between the experimental and theoretical probabilities of landing on yellow?
1/12
3/12 = 1/4
2/12 = 1/6
4/12 = 1/3
Would you rather have an extra finger or an extra toe?
Extra finger
Extra toe
The bar graph shows the results of spinning the spinner 200 times. What is the theoretical probability of landing on a 4 ?
The bar graph shows the results of spinning the spinner 200 times. What is the experimental probability of landing on a 3?
What type of probability is a way of estimating the probability of an event happening based on repeated trials?
Experimental Probabillity
Theoretical Probability
Would you rather have one eye in the middle of your head or 2 noses?
One eye
2 noses
Kate knows the theoretical probability of landing on each number is 1/4. She spun the spinner 8 times and landed 2 times on #1, 3 times on #2, 2 times on #3 and 1 times on #4. Which number/s best matched the expected results?
#1 on spinner
#2 on spinner
#3 on spinner
#4 on spinner
Victor tossed a coin 12 times and recorded his results. He landed on head 7 times and landed on tails 5 times. Based on the results, which statement is true?
The number of tails tossed was GREATER than the number he was expected to toss.
The number of tails tossed was the SAME as the number he was expected to toss.
The number of tails tossed was LESS than the number he was expected to toss.
A 7th grade class rolls a number cube 50 times. The number cube has sides labeled 1 through 6. The table shows the results. Find the relative frequency for "roll a number less than 4."
36%
16%
64%
24%
A 7th grade class rolls a number cube 50 times. The number cube has sides labeled 1 through 6. The table shows the results. Find the experimental probability for "roll a number greater than 4."
60%
20%
40%
80%
Ellen flipped a coin 80 times. The coin landed heads up 44 times and tails up 36 times. The difference between the experimental probability and the theoretical probability is?
55%
5%
50%
45%
After many studies, a researcher finds that the probability a word-recognition program correctly interprets a hand-written word is 9/10. How many words would the researcher expect the program to interpret correctly out of 40 words?
40
36
4
32
The difference between the experimental probability and the theoretical probability of P(greater than or equal to 2) is?
4.5%
6.7%
10%
9.3%
P(greater than or equal to 2) the theoretical and experimental probability are so different? Mark all true statments.
The experimental probability only matches the theoretical probability in a very small number of trials.
The spinner may not be a fair spinner. The experimental probability assumes that the spinner is a fair spinner.
The spinner may not be a fair spinner. The theoretical probability assumes that the spinner is a fair spinner.
The experimental probability of an event occurring is not guaranteed to match the theoretical probability, but with more trials, they should get closer.
If a large number of trials are preformed and the experimental and theoretical probabilities remain very different, it is possible that the spinner may be rigged.
The manager of a restaurant wants to add two new side dishes to the menu. She asked a sample of customers during one of her evening shifts which side dish he/she prefers. The table shows the customers' responses. What is the experimental probability that a customer prefers a baked potato or asparagus?
26%
34%
40%
60%
The table shows the letter grades in science class for a random sample of 300 sixth grade students. Find the relative frequency for Passing (D or better)?
20%
15%
85%
80%
The table shows the letter grades in science class for a random sample of 300 sixth grade students. Find the relative frequency for Failing (F)?
20%
15%
85%
80%
The table shows the letter grades in science class for a random sample of 300 sixth grade students. Find the relative frequency for Passing (D or better) or Failing (F)?
100%
15%
85%
80%
What is the theoretical probability that the pointer will land in a section labeled with the letter A on a given spin?
51
101
103
52
If the given spinner was spun 300 times, about how many J's would you expect to get?
60
30
40
70
Suppose you have a bag of colored plastic disks and you choose one without looking. The probability the disk you choose is yellow is P(yellow)=5/25. How many plastic disks were in the bag?
5
25
30
Unknown
There are two types of plants in a greenhouse. The following dot plots show the heights of 20 plants, 10 of Type 1 and 10 of Type 2. The plants are given the same amount of food and water and grow at the same rate. What is the mean height for Type 2?
38
39
40
41
Sonya randomly surveys 26 seventh graders to gather data about the amount of time spent each week using the Internet. Sonya records the data in the dot plot shown. What is the median of the data set?
7
7.5
8
7.25
probability - how likely something is to happen measured by the ________ of the favorable cases (number of ways it can happen) to the whole number of cases possible (total number of outcomes)
experiment
math
outcomes
ratio
experimental probability - the ratio of the number of times an event actually happens to the number of times the ___________ is done
experiment
ratio
probability
number
______ _______ - the ratio of the number of favorable outcomes to the number of possible outcomes
experimental probability
theoretical probability
A number cube with the numbers 1 through 6 is rolled. Find the given probability. P(number < 2)
61
62
64
63
A number cube with the numbers 1 through 6 is rolled. Find the given probability. P(number ≥ 3)
64
61
62
65
A number cube with the numbers 1 through 6 is rolled. Find the given probability. P(complement of 4)
64
65
62
65
A multiple-choice question has five possible answers. What are the odds in favor of guessing the right answer?
5:1
4:1
1:4
1:5
What color are you MOST likely to land on?
pink
green
yellow
blue
What is the likelihood of getting yellow?
1 out of 12
1 out of 8
3 out of 12
5 out of 7
How many possible outcomes are there with tossing a coin and rolling a dice?
2
6
12
24
Spinning a 3
Drawing an A
Spinning a 3
Drawing an A
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. Find P(purple then black)
1/18
2/5
3/7
4/9
Gregg has 12 cards. Half are black, and half are red. He picks two cards out of the deck without replacement. What is the probability that both cards are red?
1/6
5/22
1/2
1/144
What is the probability of picking a green marble, keeping it, then picking another green marble?
73×73
73×62
73×63
73×37
A fruit basket contains 9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears?
9/49
4/125
1/10
1/30
3 Cokes, 1 Sprite and 1 Dr.Pepper are left in the fridge. What is the probability of selecting a coke and then a sprite without replacing the coke?
4/9
9/20
3/20
2/5
Is the event INDEPENDENT or DEPENDENT?
Amy plays card games. She picks a card at random. Then without putting the first card back, she picks a second card at random.
Independent
Dependent
What are the odds of getting a sum of 12 when rolling two dice?
1:1
12%
1:36
1:35
What are the odds of rolling doubles when rolling two fair dice?
5:1
6:1
1:6
1:5
1:36
What are the odds against drawing an Ace from a standard deck of 52 cards?
1:13
1:12
12:4
12: 1
13:1
What are the odds of drawing an A from a bag containing the letter tiles F-A-V-O-R-I-T-E-A-L-G-E-B-R-A.
3:15
1:4
1:8
7:9
Find the odds against rolling an odd number or 6 on a single six sided dice.
4:2
1:2
2:1
50%
4:6
What are the odds against drawing a face card from a standard deck of cards?
3:10
3:13
13:3
10:3
52:3
Find the odds of rolling a sum greater than 9 when rolling two 6 sided dice.
10:36
6:36
6:30
1:6
1:5
What are the odds of randomly choosing a sophomore from a club with 12 Freshmen, 10 Sophomores, 8 Juniors and 14 Seniors?
10:17
5:22
5:17
34:10
22:5
Have you ever heard of Odds In Favor?
yes
no
What are the odds in favor of rolling a 2 or 3 when given a six-sided die?
1:6
2:4
3:5
1:1
I have 4 skittles. One red, two yellow, and one green. What are the odds of getting a yellow skittle?
(a)
What are the odds in favor of rolling a 5 on a six-sided die?
Do you feel like you know a little bit more about Odds in Favor after this lesson?
yes
no
kinda
what's odds in favor?
The probability of getting bonus points is 5:8. Find the odds in favor of getting bonus points.
5/3
5/13
3/5
8/13
The odds against a customer ordering dessert are 20:3. What is the probability of a customer ordering dessert?
3/20
20/23
3/23
20/3
The odds in favor of receiving a gift are 5:16. Find the probability of Henry receiving a gift.
16/5
5/21
None of these
5/16
The probability of the box having a toy is 6/13. What are the odds against the box having a toy?
7:13
6:7
7:6
13:6
Kevin is at a charity fundraiser and has a chance of receiving a gift. The odds in favor of receiving a gift are 6/17. Find the probability of Kevin receiving a gift.
6/23
17/23
17/6
23/6
Ryan is on a game show. He will choose a box to see if he wins a prize. The odds in favor of Ryan winning a prize are 9/2. Find the probability of Ryan winning a prize.
9/11
11/9
2/9
2/11
Ryan is on a game show. He will choose a box to see if he wins a prize. The odds in favor of Ryan winning a prize are 9/2. Find the probability of Ryan NOT winning a prize.
9/11
11/9
2/9
2/11
Out of 10 balloons, two are small, five are medium, and three are large. Find the odds against a large balloons.
3:7
3:10
7:10
7:3
Out of 10 balloons, two are small, five are medium, and three are large. Find the odds in favor of a small balloon.
2:8
8:10
2:10
8:2
Find the odds in favor of drawing a black eight out of 52 cards in a standard deck.
1/25
1/26
1/25
1/26
The probability of getting bonus points is 3/5. Find the odds in favor of getting bonus points.
3:2
2:3
3:5
5:3
The odds against a customer ordering dessert are 5:1. What is the probability of a customer ordering dessert?
1/4
1/5
1/6
None of these
Out of 10 balloons, two are small, five are medium, and three are large. Find the odds in favor of a large balloon.
3:7
3:10
7:3
7:10
Javeon entered a raffle to win a movie ticket. The probability that he wins a movie ticket is 8/17. Find the odds in favor of him winning a movie ticket.
8/9
9/8
8/17
9/17
Suppose one card is drawn at random from a standard deck. What is the probability that the card drawn is a club?
1/4
1/3
4/1
3/1
Suppose one card is drawn at random from a standard deck. Find the odds in favor of drawing a red seven.
2/25
1/13
1/25
1/26
Josephine is watching her favorite soccer team playing a match. The odds against her favorite team winning are
9/4. What is the probability of her favorite team winning?
4/13
4/9
9/13
13/9
A clothing store sells shirts, pants, and jackets. What's the complement of randomly selecting an item that is a jacket?
Selecting a shirt or a jacket
Not selecting pants
Not selecting a jacket
Selecting a jacket
What's the probability of the complement of spinning on black as a fraction?
1/4
7/8
8/8
1/8
What's the probability of the complement of spinning on an odd number as a fraction in simplest form?
1/3
1/2
5/8
3/6
What is the probability drawing a heart from a deck of cards? Simplify
1/52
1/4
13/52
1/13
What is the probability of rolling an even number on a die?
1/6
1/2
3/3
6/1
What is the probability of spinning a red?
1/8
7/8
1
1/4
What is the complement to 52 ?
1/5
2/5
3/5
5/5
What is the complement of 64 ?
2/6 = 1/3
4/6 = 2/3
6/6 = 3/3 = 1
1/6
If you flip a coin 2 times, how many possible outcomes are there?
(a)
If you flip a coin 2 times, what's the probability of getting heads exactly one time?
1/4
2/4
3/4
4/4
Is 0.36 a valid probability for an event?
Yes
No
Is 1.6 a valid probability for an event?
Yes
No
What is the probability of getting yellow?
(a)
What is the probability of NOT getting yellow?
(a)
What is the probability of NOT getting orange?
(a)
What is the probability of scoring less than a 5?
(a)
If you flip a coin 2 times, how many possible outcomes are there?
(a)
If you flip a coin 2 times, what's the probability of getting heads exactly one time?
1/4
2/4
3/4
4/4
Is 0.36 a valid probability for an event?
Yes
No
Is 1.6 a valid probability for an event?
Yes
No
What is the probability of getting yellow?
(a)
What is the probability of NOT getting yellow?
(a)
What is the probability of NOT getting orange?
(a)
What is the probability of scoring less than a 5?
(a)
What is the probability of landing on heads if you toss a coin?
1/2
1/3
1/6
2/2
What is the probability of rolling a fair number cube and landing on "3"?
1/3
1/2
1/6
1/5
What is the Probability of rolling a 4 or P(4)?
1/4
1/5
1/6
1/2
What is the likely hood of rolling an even number or p(even)?
1/6; unlikely
0/6; impossible
6/6; certain
3/6; Evenly Likely
What is the Probability of drawing a green or yellow marble? P(Green OR Yellow)=?
1/2
1/4
1/3
5/12
What is the Probability of drawing a Blue, or Red marble? P(Blue OR Red)=?
1/2
7/12
1/3
5/12
What is the probability of Not spinning blue?
P(Not Blue) = 1/4
P(Not Blue) = 1/2
P(Not Blue) = 2/3
P(Not Blue) = 3/4
What is the probability of NOT rolling a Prime Number?
0/6
1/6
1/2
1/3
What is the probability of drawing D or P(D) = ?
1/4
1/9
1/5
1/3
What is the probability of drawing S, V, or L? P(S,V, or L) = ?
2/3
1/2
1/3
5/9
What is the probability of Not Drawing D? P(Not D) = ?
8/9
7/9
2/3
1/2
How do you feel about this concept?
This concept scares me
I feel good about this concept
I am on the fence about this concept
I feel like I will never get this concept
Other
probability - how likely something is to happen measured by the ________ of the favorable cases (number of ways it can happen) to the whole number of cases possible (total number of outcomes)
experiment
math
outcomes
ratio
experimental probability - the ratio of the number of times an event actually happens to the number of times the ___________ is done
experiment
ratio
probability
number
______ _______ - the ratio of the number of favorable outcomes to the number of possible outcomes
experimental probability
theoretical probability
A number cube with the numbers 1 through 6 is rolled. Find the given probability. P(number < 2)
61
62
64
63
A number cube with the numbers 1 through 6 is rolled. Find the given probability. P(number ≥ 3)
64
61
62
65
A number cube with the numbers 1 through 6 is rolled. Find the given probability. P(complement of 4)
64
65
62
65
A multiple-choice question has five possible answers. What are the odds in favor of guessing the right answer?
5:1
4:1
1:4
1:5
What is the probability of spinning red?
65
125
21
43
A fair dice is rolled once. Find P(2')
(the probability of NOT rolling a 2)
61
62
65
2
Two dice are rolled and the numbers added together. What is the probability of rolling a sum total of 15 with a pair of dice?
impossible
unlikely
equally likely
likely
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red OR blue?
1210
14424
122
10
A bag has 3 red marbles, 2 blue, 1 yellow and 4 green. A marble is chosen, removed from the bag and another marble is drawn. What is the probability of picking 2 red marbles?
Is this an example of dependent or independent events?
151
202
9047
Dependent Events
Independent Events
A sample space is the list of possible _____.
experiments
outcomes
probabilities
events
Lara and Yasmine are playing a game of tennis. The probability of Lara serving an ace is 0.6. The probability of Yasmine serving an ace is 0.55. What is the probability of Yasmine not serving an ace?
0.55
There is no way to tell.
0.4
0.45
What is the probability of getting an EVEN number AND a C?
121
4824
145
488
A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?
You spin the spinner. How many possible outcomes are there?
4
8
1
6
Which one of the following probabilities can be labelled as UNLIKELY?
0.25
1
0.8
0.5
Which one of the following probabilities can be labeled as VERY LIKELY?
50%
90%
10%
Are these two events dependent or independent?
Scoring a 6 in your Math test and scoring a 3 in your English test.
Independent
Dependent
A letter from the word P R O B A B I L I T Y is randomly chosen.
What is the probability of selecting a B?
112
111
113
102
