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WorksheetsSimple Theoretical and Experimental Probability
Total questions: 22
Worksheet time: 2hrs 50mins
A science class has 8 female students. Out of a total of 20 students in the class, what is the probability of randomly selecting a male student from the class?
12%
40%
50%
60%
Alex has 6 shirts and 3 pairs of pants in his closet. Alex randomly picks 1 item of clothing.
Which statement is true?
It is certain that Alex picks a pair of pants.
It is certain that Alex picks a shirt.
It is more likely that Alex picks a pair of pants.
It is more likely that Alex picks a shirt.
Meredith is randomly choosing a pair of socks from her dresser. She has 6 pairs of white socks, 8 pairs of black socks, and 14 pairs of gray socks.
Which statement is true?
Meredith has an unlikely chance of choosing a pair of gray socks.
Meredith has a likely chance of choosing a pair of white socks.
Meredith has a likely chance of choosing a pair of black socks.
Meredith has neither an unlikely nor likely chance of choosing a pair of gray socks.
If Lexi spins the spinner once, what is the probability she will land on "X"?
3/5
1/5
3/7
3/8
Ross is tossing a fair coin. He tosses the coin twenty times, and it lands on heads sixteen times.
If Ross tosses the coin a twenty-first time, what is the probability that it will land on tails?
4/5
2/5
1/2
1/5
What fraction(s) could represent probabilities? Select all that apply.
1/5
2/3
4/7
5/2
11/6
The probability of an event is 0. Which would best describes this event?
Certain
Impossible
Likely
Unlikely
Equally Likely
A student claims that a probability of 0.5 means that the event is likely to occur. Is the student correct?
Yes. A probability greater than or equal to 1/2 means the event is likely to occur.
Yes. Any probability greater than 0 means the event is likely to occur.
No. A probability of 1/2 means the event is neither likely nor unlikely.
No. Any probability less than 1 means the event is impossible.
The table shows the results of three coins tossed simultaneously 200 times. Based on the data, what is the experimental probability of only 2 heads showing up?
9/25
19/40
43/50
18/25
Owen suspects that a coin is not properly balanced and flips it 30 times. When he flipped the coin 30 times there were 26 tails. If he flips the coin 15 more times, he should expect to see heads ________ times.
2
8
13
15
Derrick is playing a card game. The numbers of the cards in his hand are 2, 3, 4, 4, 5, 7, 9, and 10. Derrick may only play one card at a time. What is the probability the next card Derrick plays will be an odd number?
3/4
1/2
3/8
1/4
Teddy has a 12-sided die. If Teddy rolls the die 180 times, how many times can Teddy predict she will roll a 12?
30
24
15
12
Doug flips a coin 50 times and records the number of times the coin lands on heads. His experimental results are 42 heads out of 50 tosses. Are Doug's results consistent with the theoretically expected results?
Yes. Theoretical results are always equal to the experimental results.
Yes. The results are greater than or equal to the theoretical results.
No. The experimental results are much less than the theoretical results.
No. The experimental results are much greater than the theoretical results.
A student flips a coin 100 times. The coin lands on heads 62 times.
Which statement is true?
The experimental probability of landing on heads is 12% less than the theoretical probability of landing on heads.
The experimental probability of landing on heads is the same as the theoretical probability of landing on heads.
The experimental probability of landing on heads is 12% greater than the theoretical probability of landing on heads.
The student needs to repeat the experiment because the experimental and theoretical probability are not the same, but they should be.
Tom places only three marbles in a bag. One marble is clear, one is white, and one is blue. Four of Tom's friends draw a marble from the bag, record the color of the marble, and replace the marble in the bag. They repeat this process 60 times. The table shows their results.
Whose results most closely align with the theoretical probability for this experiment?
Calvin
Danielle
Luke
Natalie
A bag contains marbles of four different colors:
8 blue marbles
24 red marbles
16 green marbles
4 yellow marbles
The probability of picking a blue marble at random out of the bag is ______.
1/8
2/13
1/4
8/11
1/2
A bag contains marbles of four different colors:
8 blue marbles
24 red marbles
16 green marbles
4 yellow marbles
The probability of picking either a green or a red marble is ______.
1/8
4/13
6/13
10/13
2/3
Jill has 4 chickens, and over the past two weeks, she has gotten 3 eggs per day. What is the experimental probability that she will get 3 eggs tomorrow?
1/1
3/14
14/14
3/3
Over the last ten days the average rainfall each day, in centimeters, is shown in the table.
The theoretical probability that it will rain more than 5 centimeters on Day 11 is ______% .
10
35
50
90
Consider the spinner shown in the figure.
What is the probability that the arrow will land on a section labeled with a number less than 4?
3/8
1/2
5/8
3/4
There are 32 students in Mrs. Morgan’s math class. One student will be randomly selected to present his/her project.
If there are 20 boys and 12 girls in the class, what is the probability that the presenter will be a boy?
(Write the answer as a fraction in lowest terms.)
A student has a spinner that is divided into eight equal parts, numbered 1 to 8. The student spins it 400 times and lists the outcomes, as shown.
Which fraction represents the probability of the spinner landing on a number other than 7?
47/400
50/400
350/400
353/400
