Deck 11: Probability

Question 1

Find the probability.
Three fair coins are tossed. Find the probability of getting the same thing on all three coins.

Answer 1

C

Question 2

black

Answer 2

A

Question 3

black

Answer 3

B

Question 4

Find the probability.
Two 6-sided dice are rolled. What is the probability that the two numbers obtained differ by more than 2?

Question 5

grey

Question 6

Find the probability.
Two fair 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice is 4?

Question 7

Solve the problem.

Question 8

Find the probability.
Two fair 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice is greater than 10?

Question 9

Find the probability.
A bag contains 19 balls numbered 1 through 19. What is the probability that a randomly selected ball has an even number?

Question 10

Find the probability.
A class consists of 24 women and 58 men. If a student is randomly selected, what is the probability that the student is a woman?

Question 11

Solve the problem.
What are the odds in favor of drawing a 1 from these cards?

A)4:1
B)5:1
C)1:5
D)1:4

Question 12

Find the probability.
Three fair coins are tossed. Find the probability of getting exactly two tails.

Question 13

Solve the problem.

Question 14

Solve the problem.
What are the odds in favor of drawing an even number from these cards?

A)2:5
B)3:2
C)2:3
D)5:2

Question 15

Find the probability.
A bag contains 5 red marbles, 2 blue marbles, and 1 green marble. What is the probability that a randomly selected marble is not blue?

Question 16

Find the probability.
A bag contains 7 red marbles, 2 blue marbles, and 3 green marbles. What is the probability that a randomly selected marble is blue?

Question 17

black

Question 18

Find the probability.
If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap years. Assume that all days of the year are equally likely for a given birth.

Question 19

Solve the problem.
What are t he odds against drawing a number greater than 2 from these cards?

A)2:5
B)3:2
C)2:3
D)5:2

Question 20

Solve the problem.
A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds in favor of the cube showing an odd number?

A)3:2
B)2:1
C)1:2
D)1:1

Question 21

The distribution of B.A. degrees conferred by a local college is listed below, by major. What is the probability that a randomly selected degree is in Engineering?

A)0.0932
B)0.1028
C)0.0012
D)868

Question 22

It has been observed in one country, that 59 out of every 100 births is a baby with brown eyes. In 640 births how many brown eyed babies would you expect?

A)59
B)320
C)373
D)378

Question 23

If it has been determined that the probability of an earthquake occurring on a certain day in a certain area is 0.05, what are the odds against an earthquake?

A)18 to 1
B)1 to 20
C)19 to 1
D)20 to 1

Question 24

Solve the problem.
A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds against the cube showing a 4?

A)1:5
B)5:6
C)5:1
D)6:1

Question 25

Mendel found that flower color in certain pea plants obeyed this scheme: Pure red crossed with pure white produces red.
When pure red (RR)and pure white (rr)parents are crossed, the resulting Rr combination (one of
Each gene)produces second generation offspring with red flowers, since red is dominant. Suppose
That two of these second generation Rr flowers are crossed. What is the probability that the
Resulting plant will have red flowers?

A)0.75
B)0.5
C)1
D)0.25

Question 26

In a poll, respondents were asked whether they had ever been in a car accident. 313 respondents indicated that they had been in a car accident and 360 respondents said that they had not been in a
Car accident. If one of these respondents is randomly selected, what is the probability of getting
Someone who has been in a car accident?

A)0.535
B)0.869
C)0.465
D)0.003

Question 27

The table shows the number of college students who prefer a given pizza topping. Find the empirical probability that a randomly selected student prefers cheese toppings.

A)0.325
B)0.337
C)0.346
D)0.112

Question 28

If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is 0.10, what are the odds against a direct hit?

A)1 to 10
B)9 to 1
C)10 to 1
D)8 to 1

Question 29

The table shows the number of college students who prefer a given pizza topping. Find the empirical probability that a randomly selected student prefers meat toppings.

A)0.333
B)0.330
C)0.340
D)0.110

Question 30

Mendel found that flower color in certain pea plants obeyed this scheme: Pure red crossed with pure white produces red.
When pure red (RR)and pure white (rr)parents are crossed, the resulting Rr combination (one of
Each gene)produces second generation offspring with red flowers, since red is dominant. Suppose
One of these second generation Rr flowers is crossed with a pure white. What is the probability
That the resulting plant will have red flowers?

A)0.25
B)0.5
C)0
D)0.75

Question 31

The results of a school election for student president are shown in the following table. What is the probability that a randomly polled voter voted for Candidate C?

A)0.50
B)0.21
C)0.12
D)0.29

Question 32

Mendel found no dominance in snapdragons with respect to red and white flower color. When pure red (RR)and pure white (rr)parents are crossed, the resulting Rr combination (one of each
Gene)produces second generation offspring with pink flowers. Suppose one of these second
Generation pinks is crossed with a pure red. What is the probability that the resulting snapdragon
Will have red flowers?

A)0.25
B)1
C)0.75
D)0.5

Question 33

Mendel found that flower color in certain pea plants obeyed this scheme: Pure red crossed with pure white produces red.
When pure red (RR)and pure white (rr)parents are crossed, the resulting Rr combination (one of
Each gene)produces second generation offspring with red flowers, since red is dominant. Suppose
One of these second generation Rr flowers is crossed with a pure red. What is the probability that
The resulting plant will have red flowers?

A)1
B)0.5
C)0.75
D)0.25

Question 34

Mendel found no dominance in snapdragons with respect to red and white flower color. When pure red (RR)and pure white (rr)parents are crossed, the resulting Rr combination (one of each
Gene)produces second generation offspring with pink flowers. Suppose one of these second
Generation pinks is crossed with a pure white. What is the probability that the resulting
Snapdragon will have white flowers?

A)0.25
B)0
C)0.75
D)0.5

Question 35

Solve the problem.
A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds in favor of the cube showing a number less than 3?

A)1:2
B)2:1
C)1:3
D)1:1

Question 36

Mendel found no dominance in snapdragons with respect to red and white flower color. When pure red (RR)and pure white (rr)parents are crossed, the resulting Rr combination (one of each
Gene)produces second generation offspring with pink flowers. Suppose one of these second
Generation pinks is crossed with a pure red. What is the probability that the resulting snapdragon
Will have white flowers?

A)0.25
B)0.75
C)0
D)0.5

Question 37

Mendel found that flower color in certain pea plants obeyed this scheme: Pure red crossed with pure white produces red.
When pure red (RR)and pure white (rr)parents are crossed, the resulting Rr combination (one of
Each gene)produces second generation offspring with red flowers, since red is dominant. Suppose
One of these second generation Rr flowers is crossed with a pure red. What is the probability that
The resulting plant will have white flowers?

A)0.25
B)0.5
C)0
D)0.75

Question 38

Mendel found no dominance in snapdragons with respect to red and white flower color. When pure red (RR)and pure white (rr)parents are crossed, the resulting Rr combination (one of each
Gene)produces second generation offspring with pink flowers. Suppose one of these second
Generation pinks is crossed with a pure white. What is the probability that the resulting
Snapdragon will have pink flowers?

A)0.25
B)0
C)0.75
D)0.5

Question 39

The table shows the number of college students who prefer a given pizza topping. Find the empirical probability that a randomly selected junior prefers meat toppings.

A)0.061
B)0.250
C)0.183
D)0.279

Question 40

The table shows the number of college students who prefer a given pizza topping. Find the empirical probability that a randomly selected freshman prefers cheese toppings.

A)0.056
B)0.179
C)0.538
D)0.231

Question 41

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand
is made up of 13 cards.
In poker, a royal flush (5 highest cards of a single suit)

A)0.00198
B)0.000275
C)0.00000154
D)0.000000385

Question 42

Solve the problem.
Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the spring play. What is the probability that one boy and one girl will be chosen?
Order is not important.

Question 43

Solve the problem.
Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the fall play. What is the probability that no boys will be chosen? Order is not
Important.

Question 44

Solve the problem.
Two distinct even numbers are selected at random from the first ten even numbers greater than zero. What is the probability that the sum is 30?

Question 45

Solve the problem.
The digits 1, 2, 3, 4, 5, and 7 are randomly arranged to form a six-digit number. Find the probability that the first and last digits are both even.

Question 46

Solve the problem.
A family has three children. What is the probability that two of the children are boys?

Question 47

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand
is made up of 13 cards.
In poker, a flush (5 in same suit)in any suit

A)0.00198
B)0.000347
C)0.00122
D)0.000495

Question 48

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand
is made up of 13 cards.
In poker, four of a kind (4 cards of the same value)

A)0.000240
B)0.0000200
C)0.0000185
D)0.000434

Question 49

Solve the problem.
Four boys and three girls are seated in a row, at random, to watch a play. What is the probability that a girl is seated at each end of the row?

Question 50

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand
is made up of 13 cards.
In bridge, 6 of one suit, 4 of another, and 3 of another

A)0.0022
B)0.0060
C)0.0133
D)0.00055

Question 51

Decide whether or not the events are mutually exclusive.
Speaking Spanish and speaking Chinese

A)No
B)Yes

Question 52

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand
is made up of 13 cards.
In bridge, all cards in one suit

A)0.0000000000314
B)0.00000000000157
C)0.00000000000630
D)0.00000000000314

Question 53

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand
is made up of 13 cards.
In bridge, exactly 3 kings and exactly 3 queens

A)0.00097
B)0.00018
C)0.00337
D)0.00024

Question 54

Solve the problem.
Four married couples have reserved eight seats in a row at the theater, starting at an aisle seat. If they arrange themselves randomly, what is the probability that all the women will sit in adjacent
Seats and all the men will sit in adjacent seats?

Question 55

Solve the problem.
If 3 boys and 2 girls are arranged at random in a row, what is the probability that two boys will not be in adjacent seats?

Question 56

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand
is made up of 13 cards.
In poker, a straight flush (5 in a row in a single suit)

A)0.0000139
B)0.00000923
C)0.0000123
D)0.00000231

Question 57

Solve the problem.
The Gray Stone Rock Band will give 10 performances this season. Four of these will be only songs from the 70s. If Tony gets to pick two tickets at random, what is the probability that he will get both
70s tickets?

Question 58

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand
is made up of 13 cards.
In bridge, 4 aces

A)0.01056
B)0.00118
C)0.00059
D)0.00264

Question 59

Solve the problem.
In an essay contest, a teacher finds that seven students have written excellent essays. Three of these students are Alicia, Pat, and David. If the teacher chooses the first place winner, second place
Winner, and third place winner at random from these seven students, what is the probability that
Alicia will win first prize, Pat will win second prize, and David will win third prize?

Question 60

Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand
is made up of 13 cards.
In poker, a full house (3 cards of one value, 2 of another value)

A)0.00655
B)0.0000385
C)0.00000920
D)0.00144

Question 61

Decide whether or not the events are mutually exclusive.
Being a male and being a nurse

A)Yes
B)No

Question 62

Decide whether or not the events are mutually exclusive.
Events A and B defined as follows A card is drawn at random from a deck of cards. Event A is that the card obtained is a face card
And B is the event that the card obtained is a two.

A)No
B)Yes

Question 63

Find the probability.
A fair die is rolled. What is the probability of rolling a 3 or a 6?

Question 64

Decide whether or not the events are mutually exclusive.
Wearing a coat and wearing a sweater

A)No
B)Yes

Question 65

Decide whether or not the events are mutually exclusive.
Events A and B defined as follows Event A is that at least three of Toni's five cousins are female.
Event B is that at most four of Toni's five cousins are male.

A)Yes
B)No

Question 66

Find the probability.
A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 5?

Question 67

Find the indicated probability.
The age distribution of students at a community college is given below. A student from the community college is selected at random. Find the probability that the student is between 26 and 35 inclusive. Round approximations to three decimal places.

A)0.198
B)0.248
C)0.051
D)275

Question 68

Decide whether or not the events are mutually exclusive.
Being over 30 and being in college

A)No
B)Yes

Question 69

Find the probability.
When two balanced dice are rolled, there are 36 possible outcomes. What is the probability that the sum of the numbers on the dice is 6 or 9?

Question 70

Find the probability.
A spinner has regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3?

Question 71

Find the probability.
A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a red card?

Question 72

Decide whether or not the events are mutually exclusive.
Events A and B defined as follows A card is drawn at random from a deck of cards. Event A is that the card obtained is a face card
And B is the event that the card obtained is a spade.

A)Yes
B)No

Question 73

Find the probability.
When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the sum is a multiple of 3 or greater than 4.

Question 74

Find the probability.
When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 8.

Question 75

Find the probability.
A lottery game has balls numbered 0 through 9. If a ball is selected at random, what is the probability of selecting an even numbered ball or a 3?

Question 76

Find the probability.
A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a spade?

Question 77

Decide whether or not the events are mutually exclusive.
Having good reading skills and having good math skills

A)Yes
B)No

Question 78

Decide whether or not the events are mutually exclusive.
Being a teenager and being a United States Senator

A)No
B)Yes

Question 79

Find the probability.
A fair die is rolled. What is the probability of rolling an odd number or a number less than 3?

Question 80

Decide whether or not the events are mutually exclusive.
Events A and B defined as follows Event A is that at least three of Toni's five cousins are female.
Event B is that at least three of Toni's five cousins are male.

A)No
B)Yes