Title: (Canvas-Quiz)G13_Probability
Course: HBUHSD Geometry Resource Course > Section: Unit 7: Probability and Probability Distributions

Q: In a batch of 860 calculators, 9 were found to be defective. What is the probability that a calculator chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary.
- 1.4%
- 1%
- 74.2%
- 99%
A: 1%

Q: In a batch of 280 water purifiers, 12 were found to be defective. What is the probability that a water purifier chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary.
- 4.3%
- 5.6%
- 95.7%
- 71.8%
A: 4.3%

Q: Lynn and Dawn tossed a coin 60 times and got heads 33 times. What is the experimental probability of tossing heads using Lynn and Dawn’s results?
A: (a choice with no text)

Q: This is a spinner used in a board game. What is the probability that the spinner will land on a multiple of 3 and 4?
A: (a choice with no text)

Q: A spinner is numbered from 1 through 10 with each number equally likely to occur. What is the probability of obtaining a number less than 2 or greater than 7 in a single spin?
A: (a choice with no text)

Q: Teesha is in the French club. There are 21 students in the club. The French teacher will pick two students at random to guide visiting students from France. What is the probability that Teesha will not be picked as a guide?
A: (a choice with no text)

Q: You have the numbers 1–25 written on slips of paper. If you choose one slip at random, what is the probability that you will select a number that divisible by 4?
A: (a choice with no text)

Q: A drug trial is testing the effectiveness of two drugs. If 50 patients are given Drug A, 20 patients are given Drug B, and 100 patients are given a placebo, what is the probability that a patient will NOT be given a placebo?
A: (a choice with no text)

Q: You have the numbers 1–24 written on slips of paper. If you choose one slip at random, what is the probability that you will NOT select a number divisible by 3?
A: (a choice with no text)

Q: You roll a standard number cube. Find P(number is not 3).
A: (a choice with no text)

Q: The results of a survey of students’ favorite ice cream flavors are organized in the frequency table below. What is the relative frequency of the preference for chocolate?

Flavor | Frequency
Vanilla | 9
Chocolate | 5
Coffee | 6
Mint | 3
Black Raspberry | 3
- 5
A: (a choice with no text)

Q: The results of a survey of students’ favorite animal are organized in the frequency table below. What is the relative frequency of the preference for cats?

Animal | Frequency
Dog | 9
Cat | 6
Bird | 6
Mouse | 10
Snake | 4
- 6
A: (a choice with no text)

Q: The results of a survey of students’ favorite color are organized in the frequency table below. What is the relative frequency of the preference for green?

Color | Frequency
Blue | 6
Red | 9
Yellow | 3
Green | 5
Purple | 5
- 5
A: (a choice with no text)

Q: The results of a survey of students’ favorite food are organized in the frequency table below. What is the sum of all of the relative frequencies for all types of food?

Food Preferred | Frequency
Pizza | 10
Hamburger | 6
Spaghetti | 1
Hotdog | 5
Taco | 4
- 0
- 26
- 100
- 1
A: 1

Q: A student rolls two non-standard number cubes, each with the numbers 1 through 3 on it. Use the results in the frequency table below to determine the experimental probability of rolling two numbers with a sum of 4. Order does not matter.

Result | 1, 1 | 1, 2 | 2, 2 | 1, 3 | 2, 3 | 3, 3
Frequency | 9 | 6 | 5 | 9 | 6 | 9
- 14
A: (a choice with no text)

Q: A bag contains red, blue, green and yellow marbles. A student conducts a probability experiment picking marbles out of the bag one at a time. Use the results in the frequency table below to determine the experimental probability of picking a green marble.

Result | red | blue | green | yellow
Frequency | 8 | 5 | 5 | 1
- 5
A: (a choice with no text)

Q: A student rolls two non-standard number cubes in a probability experiment. Use the results in the frequency table below to determine the experimental probability of rolling at least one three.

Result | 1, 1 | 1, 2 | 2, 2 | 1, 3 | 2, 3 | 3, 3
Frequency | 6 | 5 | 7 | 5 | 5 | 10
A: (a choice with no text)

Q: A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping?
- 144
- 72
- 36
- 665,280
A: 72

Q: Suppose Ruth Ann has 3 routes she can choose from to get from school to the library, and 5 routes from the library to her home. How many routes are there from Ruth Ann’s school to her home with a stop at the library?
- 9
- 60
- 15
- 25
A: 15

Q: In how many different orders can you line up 8 cards on a table?
- 8
- 1
- 1,680
- 40,320
A: 40,320

Q: Verne has 6 math books to line up on a shelf. Jenny has 4 English books to line up on a shelf. In how many more orders can Verne line up his books than Jenny?
- 24
- 720
- 14
- 696
A: 696

Q: In how many different orders can 12 basketball players be listed in a program?
- 665,280
- 1
- 479,001,600
- 12
A: 479,001,600

Q: Evaluate .
- 9
- 362,880
- 126
- 3,024
A: 3,024

Q: There are 10 students participating in a spelling bee. In how many ways can the students who go first and second be chosen?
- 1
- 90
- 3,628,800
- 45
A: 90

Q: While organizing a film festival, you must decide which of the 12 movies will be shown on the big screen. You only have the budget to show 5 movies on this screen, and you want to be able to tell moviegoers which order the films will be shown. In how many different ways can you show 5 of the 12 movies on the big screen?
- 47,520
- 792
- 60
- 95,040
A: 95,040

Q: Evaluate .
- 9
- 1
- 5,040
- 7
A: 7

Q: At a high school, 7 students volunteer for a committee. How many different 5-person committees can be chosen?
- 5,040
- 120
- 21
- 2,520
A: 21

Q: A local pizzeria offers 11 toppings for their pizzas and you can choose any 5 of them for one fixed price. How many different types of pizzas can you order with 5 toppings?
- 462
- 120
- 55,440
- 332,640
A: 462

Q: In how many ways can 5 singers be selected from 8 who came to an audition?
- 6,720
- 120
- 8
- 56
A: 56

Q: There are 8 people on the ballot for regional judges. Voters can vote for any 4. Voters can choose to vote for 0¸ 1¸ 2¸ 3¸ or 4 judges. In how many different ways can a person vote?
- 5
- 56
- 70
- 163
A: 163

Q: Determine whether each pair of actions results in independent or dependent events.

Roll a standard number cube. Then pick a marble out of a bag.
- Dependent; the roll will not affect the marble selection.
- Independent; the roll will affect the marble selection.
- Dependent; the roll will affect the marble selection.
- Independent; the roll will not affect the marble selection.
A: Independent; the roll will not affect the marble selection.

Q: Determine whether each pair of actions results in independent or dependent events.

Pick one marble out of a bag. Then, without replacing the marble, pick another marble.
- Dependent; the first marble selection will affect the second marble selection.
- Independent; the first marble selection will not affect the second marble selection.
- Dependent; the first marble selection will not affect the second marble selection.
- Independent; the first marble selection will affect the second marble selection.
A: Dependent; the first marble selection will affect the second marble selection.

Q: Determine whether each pair of actions results in independent or dependent events.

Toss a coin. Then spin the pointer of a spinner.
- Independent; the coin toss will affect the spinner result.
- Dependent; the coin toss will affect the spinner result.
- Dependent; the coin toss will not affect the spinner result.
- Independent; the coin toss will not affect the spinner result.
A: Independent; the coin toss will not affect the spinner result.

Q: Suppose Q and R are independent events, and P(Q) = 0.39, P(R) = 0.85. Find P(Q and R).
- 1.24
- 0.3315
- 0.46
- 0.1794
A: 0.3315

Q: Two urns contain white balls and yellow balls. The first urn contains 3 white balls and 6 yellow balls and the second urn contains 3 white balls and 8 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white?
A: (a choice with no text)

Q: A pet store has two tanks of tropical fish. The first tank contains 7 blue fish and 3 yellow fish and the second tank contains 10 blue fish and 8 yellow fish. If Keisha randomly purchases a fish from each tank, what is the probability that both fish will be blue?
A: (a choice with no text)

Q: Suppose S and T are mutually exclusive events, P(S) = 20%, and P(T) = 22%. Find P(S or T).
- 2%
- 440%
- 42%
- 4.4%
A: 42%

Q: If all possible results are equally likely, what is the probability that a spin of the spinner will land on an upper case letter or a consonant?
- 0.9
- 0.7
- 0.5
- 0.3
A: 0.9

Q: A sixteen-sided number cube has the numbers 1 through 16 on each face. Each face is equally likely to show after a roll. What is the probability that you will roll an even number or an odd prime number? Round to the nearest thousandth.
- 0.063
- 0.813
- 0.219
- 0.875
A: 0.813

Q: A jar contains 2 blue cubes, 5 blue spheres, 2 green cubes, and 5 green spheres. If you select an object at random, what is the probability that the object is green or a cube?
A: (a choice with no text)

Q: Joey’s sock drawer is unorganized and contains 3 black dress socks, 7 black ankle socks, 4 brown dress socks, and 3 brown ankle socks. What is the probability that Joey chooses a sock at random that is brown or is a dress sock?
- , or 100%
A: (a choice with no text)

Q: The two-way frequency table shows the results of a survey of middle school students. Find the probability that a randomly chosen student is a male who enjoys reading. Round to the nearest thousandth.

Enjoyment of Reading
Enjoys Reading | Yes | No | Totals
Female | 40 | 30 | 70
Male | 15 | 30 | 45
Totals | 55 | 60 | 115
- 0.333
- 0.273
- 0.261
- 0.130
A: 0.130

Q: The two-way frequency table shows the results of a survey of a certain forest. Find the probability that a randomly chosen tree will be a California redwood tree taller than 300 ft. Round to the nearest thousandth.

Trees in Forest
Height of 300 ft | Over | Under | Totals
California Redwood | 25 | 280 | 305
Giant Sequoia | 35 | 270 | 305
Totals | 60 | 550 | 610
- 0.459
- 0.082
- 0.417
- 0.041
A: 0.041

Q: On St. Patrick’s Day, you took note of who was coming into your restaurant wearing green. The two-way frequency table shows the results of your survey. What is the probability that a randomly chosen customer will be a female wearing green? Round to the nearest thousandth.

Wearing Green | Yes | No | Totals
Male | 36 | 83 | 119
Female | 44 | 68 | 112
Totals | 80 | 151 | 231
- 0.393
- 0.294
- 0.370
- 0.190
A: 0.190

Q: The table shows the results of a survey of students in two math classes. The students were asked whether they watched more than one hour of TV the night before.
Find P(more than 1 hour of TV | 6th period class). Round to the nearest thousandth.

TV Survey Results
 | Yes | No
3rd period class | 10 | 10
6th period class | 11 | 8
- 0.550
- 0.727
- 0.579
- 0.421
A: 0.579

Q: Each person in a group of college students was identified by graduating year and asked when he or she preferred taking classes: morning, afternoon, or evening. The results are shown in the table. Find the probability that the student preferred morning classes given he or she is a junior. Round to the nearest thousandth.

Survey of Class Times
 | Freshman | Sophomore | Junior | Senior
Morning | 20 | 14 | 16 | 17
Afternoon | 5 | 10 | 2 | 7
Evening | 15 | 15 | 8 | 14
- 0.654
- 0.083
- 0.421
- 0.615
A: 0.615

Q: The two-way frequency table shows the results of a survey of college students. Find the probability that a student’s first class of the day is a humanities class, given the student is male. Round to the nearest thousandth.

First Class of the Day
 | Male | Female
Humanities | 70 | 80
Science | 50 | 80
Other | 60 | 70
- 0.171
- 0.467
- 0.269
- 0.389
A: 0.389

Q: The probability distribution shows the results of a survey of people’s fear of flying on an airplane. Find the probability that a person who is afraid of flying has never flown before. Round to the nearest thousandth.

History of Flying Survey
 | Have Flown Before | Have Not Flown Before | Totals
Afraid to Fly | 0.01 | 0.07 | 0.08
Not Afraid to Fly | 0.79 | 0.13 | 0.92
Totals | 0.8 | 0.2 | 1
- 0.070
- 0.650
- 0.350
- 0.875
A: 0.875

Q: One-hundred students were allowed to re-take an exam for their math course. The probability distribution shows how studying for the latest exam affected their grade when compared with the first time they took the exam. What is the probability that a student who studied for the exam saw an increase in their exam grade? Round to the nearest thousandth.

Exam Grades
 | Studied | Did Not Study | Totals
Raise in Grade | 0.52 | 0.06 | 0.58
No Raise in Grade | 0.05 | 0.37 | 0.42
Totals | 0.57 | 0.43 | 1
- 0.088
- 0.897
- 0.912
- 0.570
A: 0.912

Q: In a college biology class, only half of the class earned a passing grade. Out of all the students, 45% studied and passed. What is the probability of someone having studied, given that they passed?
- 1%
- 55%
- 90%
- 45%
A: 90%

Q: At Roberta’s cafe half of her regular customers order her famous low-fat chicken sandwich. The probability of a regular customer ordering the chicken sandwich and losing weight last month was 40%. What is the probability of someone losing weight given that they regularly ordered the sandwich?
- 1%
- 60%
- 80%
- 40%
A: 80%

Q: In a survey of a town, 56% of residents own a car, 21% of residents own a truck, and 4% of residents own both a car and a truck. What is the conditional probability that a person who owns a car also owns a truck? Round to the nearest whole number.
- 17%
- 44%
- 7%
- 19%
A: 7%

Q: In a survey of 200 people, 31% had a son, 35% had a daughter, and 21% had both a son and a daughter. What is the conditional probability that a person who has a son also has a daughter? Round to the nearest whole number.
- 14%
- 69%
- 68%
- 60%
A: 68%

Q: Use the given line(s) from a random number table to select numbers to use in each problem.

A camp counselor wants to randomly choose three out of the thirty campers to help out at story time.

67520 32256 83128 81212 63905
- 6, 7, 5
- 3, 25, 28
- 20, 22, 12
- 3, 22, 12
A: 3, 22, 12

Q: Use the given line(s) from a random number table to select numbers to use in each problem.

Select 2 contestants for a game show out of a pool of 50

46547 17395 25765 11325 14071 61688
- 39, 25
- 46, 47
- 4, 6
- 46, 25
A: 46, 25

Q: Use the given line(s) from a random number table to select numbers to use in each problem.

Select 5 out of 15 members of the basketball team to start in the game.

81257 04486 87889      81335 22765 13120
82566 41186 53135      87884 83735 85496
21311 07218 26649      39874 03907 23198
32659 11818 56268      84388 59141 58504
- 12, 13, 13, 12, 10
- 13, 11, 13, 10, 3
- 8, 12, 5, 7, 4
- 13, 11, 10, 3, 14
A: 13, 11, 10, 3, 14

Q: A biologist has determined that a particular osprey has a 70% chance of catching a fish on any given day. Carry out a simulation of twenty trials using the random number table below to find the probability that the osprey will actually catch a fish on all of the next three days. Explain your method.

945 | 025 | 354 | 793 | 236
106 | 746 | 981 | 105 | 012
832 | 180 | 250 | 871 | 835
793 | 726 | 864 | 496 | 947
- Using the digits 0–7 to represent a caught fish, the probability of catching a fish on each of the next three days is 45%.
- Using the digits 0–7 to represent a caught fish, the probability of catching a fish on each of the next three days is 65%.
- Using the digits 0–6 to represent a caught fish, the probability of catching a fish on each of the next three days is 35%.
- Using the digits 0–6 to represent a caught fish, the probability of catching a fish on each of the next three days is 7%.
A: Using the digits 0–6 to represent a caught fish, the probability of catching a fish on each of the next three days is 35%.

Q: A bag has 10 marbles in it: 2 red, 2 green, 2 blue, 2 yellow, and 2 black. You pick a marble out of the bag one at a time and then replace it. On average, how many marbles would you have to pick before you select at least one of each color? Use the data below as four trials. Should you use more trials?

red | green | red | red | yellow | green | red | red | blue | black |  |
black | green | black | red | yellow | blue |  |  |  |  |  |
red | blue | red | yellow | yellow | green | black |  |  |  |  |
green | green | red | yellow | red | black | red | green | black | black | red | blue
- 6 marbles; no, the number of trials is sufficient.
- 8.75 marbles; no, the number of trials is sufficient.
- 8.75 marbles, yes, more trials are needed.
- 10.5 marbles, yes, more trials are needed.
A: 8.75 marbles, yes, more trials are needed.

Q: Marcus is playing a carnival game where he must guess the color of a candy bean before he pulls it out of a hat. He gets five tries and will earn 3 points every time he guesses correctly. However, he will lose 1 point for an incorrect guess. If there are 4 red, 2 green, and 2 yellow candy beans in the hat and Marcus guesses red every time, how many points can he expect to earn?
- point(s)
- point(s)
- point(s)
- point(s)
A: point(s)

Q: Use the dartboard below to calculate the expected values in terms of .
- points
- points
- 16 points
- points
A: points

Q: Use the dartboard below to calculate the expected values in terms of .
- points
- points
- points
- points
A: points

Q: Use the dartboard below to calculate the expected values in terms of .

Use the values below for r.

What number of points would the middle ring have to be set at in order to result in an expected value of zero?
- 1 point
- –1 point
- point
- 2 points
A: 1 point

Q: A gymnast is planning which vault to perform at an upcoming competition. Her most difficult vault, vault #1, can earn her a 9.1. However, 75% of the time she does not successfully complete it and is disqualified with zero points. Her other option, vault #2, is a vault that can earn her 5.4 points, and she completes it 95% of the time. Which vault should she choose? Explain.
- vault #1, 8.65 > 1.35
- vault #2, 5.13 > 2.28
- vault #1, 2.28 < 5.13
- vault #2, 1.35 < 8.65
A: vault #2, 5.13 > 2.28

Q: Yun is making some investments in the stock market. Stock for Company A has a 30% chance of losing $12,000, a 45% chance of breaking even, and a 25% chance of earning Yun $11,000. Assuming Yun would like the odds to be in favor of her gaining money, should she invest in Company A? Explain.
- no, 7,700 > 3,600
- yes, 7,700 > 3,600
- yes, 3,600 > 2,750
- no, 3,600 > 2,750
A: no, 3,600 > 2,750