Font size
WorksheetsG8 L12.6-12.8
Total questions: 228
Worksheet time: 10hrs 57mins
7P2
0
7
42
210
A team of 8 basketball players need to choose a co-captain and captain.
There are 45 applicants for three Computer Programmer job positions.
The batting order for seven players on a 12 person team.
Simple probability can be defined as...
# Favourable outcomes / # Total Outcomes
# Favourable Outcomes / # Unfavourable Outcomes
# Favourable Outcomes + # Unfavourable Outcomes
# Total Outcomes - # Unfavourable Outcomes
Simple odds can be calculated using the formula.
# Favourable Outcomes / # Total Outcomes
# Favourable Outcomes + Unfavourable Outcomes
# Total Outcomes - # Unfavourable Outcomes
# Favourable Outcome / # Unfavourable Outcomes
To calculate the compound probability for a series of events you...
Multiple the individual probabilities
Divide the individual probabilities
Add the individual probabilities
Subtract the individual probabilities.
A tree diagram is useful in determining the __________of a probability experiment.
result
possible outcomes
event
none of the above
A coin is tossed and a number cube is rolled. Find the probability, P(heads and 7).
1/14
1/2
0
1/7
What is the probability you will choose either a black or white marble?
Which of the following statements is true about the probability of spinning a blue?
Which statement best describes the experimental probability and theoretical probability of the arrow landing on the section labeled Q?
How many total outcomes are there?
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
Two dice are rolled. What is the probability that the sum is 9?
1/4
1/9
5/12
7/12
1/12
P(King)?
4/52
2/52
3/13
4/13
P(a red 8)?
3/26
2/52
1/13
4/13
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?
Find the probability of drawing a red from a standard deck of 52 cards, replacing it, then drawing a spade ♠
1/13
1/8
1/4
1/6
Find the probability of drawing a diamond ♦ from a standard deck of 52 cards, replacing it, then drawing a club♣
1/16
1/8
1/4
1/2
Using a standard deck of cards with no jokers, what is the probability of pulling any Jack, then any Ace? (no replacement)
1/169
4/663
1/221
3/676
Using a standard deck of cards with no jokers, what is the probability of getting two of a kind?(No replacement)
1/221
1/169
1/17
3/676
Using a standard deck of cards with no jokers, what is the probability of getting three Queens? (No replacement)
1/5525
1/425
3/17,576
1/2,197
Imagine you've just walked into a casino, and won a significant amount of money in a short period of time. What would be your wisest choice at this point?
Keep gambling. You're on a lucky streak!
Take your money and leave.
Play blackjack because it has the best odds.
Bet all of your winnings on one roll at the roulette table.
A digital lock uses a 4 letter combination. If each position on the lock has 26 variations, and no letters are allowed to be repeated, how many possible combinations are there available?
104
256
456,976
358,800
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" What should you do and why?
Stay. The probability of winning is 1/3 no matter which door you chose.
Switch. The probability of winning increases to 2/3
Switch. The probability of winning is 100%.
Stay. The probability of winning is already 2/3.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?
2/7
5/49
5/7
10/49
The letters that form the word MATHEMATICS are placed in a bowl. What are the odds AGAINST choosing an “A”?
You are dealt 5 cards from a standard deck of playing cards. What is the probability you are dealt a flush?
**A flush is all 5 cards of the same suit (order does not matter).
1/1287
1/2598960
1287/2598960
5/52
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
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
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
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
A bag contains 13 red skittles, 18 purple skittles, 12 orange skittles, and 5 yellow skittles. What are the ODDS in FAVOUR of drawing a red skittle?
13:35
35:13
13/48
35/48
A bag contains 13 red skittles, 18 purple skittles, 12 orange skittles, and 5 yellow skittles. What are the ODDS AGAINST drawing a yellow skittle?
43:5
5:43
43/48
5/48
What are the ODDS in FAVOUR of rolling doubles on a pair of six sided dice?
1:5
30:6
6/36
5/6
A standard deck of cards has 52 cards. What are the odds of choosing the 7 of spades?
51:1
1:51
1:52
52:1
A bag holds 10 coloured marbles,. Of the marbles, 6 are red, 3 are blue, and 1 is green. What are the odds of selecting a red marble?
4:6
10:4
6:4
4:10
A bag holds 10 coloured marbles,. Of the marbles, 6 are red, 3 are blue, and 1 is green. What are the odds of NOT selecting a blue marble?
10:7
7:10
3:7
7:3
You flip a coin and roll a die. What is the probability that you flip a tails and roll a 4?
Roll a number cube. Then toss a coin.
application to art school. If she has 25 to choose from, how many ways can she pick 4?
Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.
The batting order for seven players on a 12 person team.
There are 45 applicants for three Computer Programmer positions.
Choosing from 3 sizes of bottled water and from distilled, filtered, or spring water.
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they play football only?
66/80
4/80
18/80
49/80
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they play football?
66/80
4/80
18/80
49/80
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they play Hockey and Rugby but not Football?
36/80
5/80
41/80
44/80
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they play any of the three sports?
79/80
1/80
74/80
6/80
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they don't play any of the three sports?
79/80
1/80
74/80
6/80
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they play Rugby or Hockey?
75/80
8/80
13/80
44/80
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they play Rugby or Hockey but not Football?
75/80
8/80
13/80
44/80
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they don't play Rugby?
24/80
77/80
23/80
17/80
There are 20 sweets in a bag. A sweet is picked at random from the bag. The probability that this sweet is not a chocolate is 0.6.
How many chocolates are in the box?
0.4
4
8
12
7005
700695
700699
7001
0.25
0.3
0.75
0.35
There are only Pink, Yellow, Green and Blue counters in a bag. The table shows the probability of picking each colour.
What is the probability of picking a Yellow counter?
0.8
0.2
0.7
0.3
What is an event that will happen or has a probability of 1?
theoretical
probability
mutually exclusive
certain
outcome with the same chance of occurring
mutually exclusive
impossible
equally
independent
a situation involving doing the activity that leads to results or outcomes.
complement
outcome
dependent
experimental
an event with a probability of zero
impossible
mutually exclusive
outcome
outcome
Mathematical calculation that an even will happen in theory.
odds
theoretical probability
outcomes
dependent event
A set of all possible outcomes of one or more events. Ex. {1,2,3,4,5,&6}
Independent Events
Outcome
Probability
Sample Space
Probabilities are always between...
0 & 1 or 0% & 100%
0 & 100 or 0% & 1%
1 & 100
2 & 1
The chance of flipping a tail on a normal coin is equally as likely as flipping a head.
True
False
Identify the following scenario as experimental or theoretical:
Samantha flips a coin 10 times and the result is heads 7 times. She concludes that the probability of getting heads must be 7/10
Experimental
Theoretical
the outcome of the first event affects the outcome of the second event
equally
independent
dependent
certain
The number of times the value appears in a data set.
Frequency
Joint Relative Frequency
Marginal Relative Frequency
Conditional Relative Frequency
What is the definition of "population"?
Part of a population and should be representative of the whole population.
The whole of a group being studied.
the practice or science of collecting and analyzing numerical data in large quantities,
not representative of the population
What is a "sample"?
Part of a population and should be representative of the whole population
The whole of a group being studied
the practice or science of collecting and analyzing numerical data in large quantities
not representative of the population
Average
Mean
Median
Mode
Range
The largest number in a data set
Minimum
Difference
Sum
Maximum
Middle number in a data set
Median
Outlier
Boxplot
Mode
Compares data using medians
Dot Plot
Box Plot
Range
Histogram
Smallest number in a data set
Maximum
Range
Median
Minimum
The interquartile range is the difference between the upper quartile (Q3) and the lower quartile (Q1).
Which of the following best describes the process of finding the interquartile range for a set of data?
Add the biggest and smallest numbers.
Place the numbers in order from least to greatest and find the middle.
Find the difference between the maximum and the minimum.
Subtract Q1 from Q3.
In a deck of 52 cards, what is the probability of drawing a heart?
1/4
1/3
1/5
1/2
If you have a 1 in 5 chance of winning a prize, what is the probability of not winning?
3/5
4/5
2/5
1/5
A coin is tossed 18 times. It lands on heads 12 times. What is the experimental probability of the coin landing on tails? reduce the fraction!
The bar graph shows the results of rolling a number cube __________times
6
50
100
12
The bar graph shows the results of spinning the spinner 200 times. What is the experimental probability of landing on a 3?
The bar graph shows the results of spinning the spinner 200 times. What is the theoretical probability of landing on a 4 ?
Neil tossed a 6-sided die 90 times. The results of his tosses are recorded in the table below: Which number has the experimental probability of 13/90?
1
2
3
4
5
The arrow is spun 15 times and landed 4 times on the section labeled Q. Which statement is true?
The table shows the results of 50 rolls of a number cube. According to the data in the table, what was the experimental probability of rolling a 1?
What is the probability of spinning red?
Shannon has a bag of jelly beans. She removed one jelly bean, recording the color, and then replaced it. She repeated the process 44 times and record her results in the table. What is the experimental probability of her selecting a red jelly bean?
11/44
9/22
1/4
1/3
In a bag of marbles there are 42 red, 74 blue, 66 green and 118 yellow marbles. These 300 marbles are mixed up. What is the probability of getting the most unlikely marble choice?
10%
12%
16%
14%
What is the probability of spinning an even number?
30%
33%
50%
67%
If you choose from the following M & M colors, what is the probability that you choose blue? **Remember to simplify**
5 green
6 yellow
8 blue
7 brown
8/18
4/13
8/25
1/3
What is the experimental probability of the coin landing on heads?
2413
21
2411
127
What is the Theoretical Probability of NOT landing on red?
Which table shows an experimental probability of landing on tails that is 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
The spinner has 4 sections of equal size labeled T, V, W, and X. The arrow of this spinner was spun 10 times and landed 6 times on the section labeled T.
Which statement best describes the experimental probability and theoretical probability of the arrow landing on the section labeled T?
The experimental probability is 1/4, and the theoretical probability is 3/5.
The experimental probability is 3/5, and the theoretical probability is 1/4.
The experimental probability is 3/5, and the theoretical probability is 3/5.
The experimental probability is 1/4, and the theoretical probability 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 12.5% while the experimental probability of landing on 11 is 30%
The experimental probability of landing on 11 is less 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
Joe is spinning a spinner with four equal sections labeled red, blue, green and yellow. If he wants the experimental probability of spinning green to be similar to the theoretical probability of spinning green, what must happen?
He should spin the spinner a large number of trials
He should make more outcomes.
He only needs to spin the spinner a small number of trials
He should take away some of the outcomes
Lisa is rolling a six-sided number cube. If she wants the experimental probabilities to be as close as possible to the theoretical probabilities, how many times should she roll the number cube?
100 times
10,000 times
10,000,000 times
100,000 times
