#
Question : Use a Venn diagram to find the indicated probability : 2151608

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Use a Venn diagram to find the indicated probability.

1) If P(A∪B) = 0.62, P(A) = 0.37, and P(B) = 0.48, find P(A∩B).

A) 0.35

B) 0.64

C) 0.19

D) 0.23

2) If P(A∩B) = 0.13, P(A) = 0.34, and P(B) = 0.42, find P(A∪B).

A) 0.74

B) 0.59

C) 0.68

D) 0.63

3) If P(A∪B) = 0.63, P(A) = 0.34, and P(A∩B) = 0.14, find P(B).

A) 0.35

B) 0.5

C) 0.56

D) 0.43

4) If P(A∪B) = 0.62, P(B) = 0.46, and P(A∩B) = 0.21, find P(A).

A) 0.27

B) 0.49

C) 0.32

D) 0.37

5) Suppose P(R) = 0.6, P(S) = 0.44, and P(R∩S) = 0.31.

Find P(R∩S').

A) 0.69

B) 0.26

C) 0.13

D) 0.29

6) Suppose P(R) = 0.6, P(S) = 0.46, and P(R∩S) = 0.34.

Find P(R'∪S).

A) 0.74

B) 0.86

C) 0.66

D) 0.12

7) Suppose P(B) = 0.31, P(C) = 0.54, and P(B∩C) = 0.09.

Find P(B'∪C').

A) 0.38

B) 0.67

C) 0.91

D) 0.47

8) Suppose P(Y) = 0.42, P(Z) = 0.47, and P(Y∪Z) = 0.65.

Find P(Y'∩Z').

A) 0.76

B) 0.41

C) 0.35

D) 0.61

Find the odds.

9) Find the odds in favor of spinning an A on the spinner pictured below. (The sectors are of equal size.)

A) 3 to 5

B) 1 to 3

C) 3 to 1

D) 2 to 1

10) Find the odds in favor of drawing a 5 when a card is drawn at random from the cards pictured below.

A) 1 to 4

B) 4 to 1

C) 1 to 5

D) 5 to 1

11) Find the odds in favor of drawing an even number when a card is drawn at random from the cards shown below.

A) 3 to 2

B) 2 to 5

C) 2 to 3

D) 5 to 2

12) Find the odds in favor of drawing a number greater than 2 when a card is drawn at random from the cards pictured below.

A) 4 to 5

B) 4 to 1

C) 3 to 2

D) 3 to 5

13) Find the odds in favor of drawing a red marble when a marble is selected at random from a bag containing 2 yellow, 5 red, and 6 green marbles.

A) 5 to 13

B) 1 to 5

C) 8 to 13

D) 5 to 8

14) Find the odds in favor of rolling an odd number when a fair die is rolled.

A) 1 to 2

B) 2 to 1

C) 1 to 1

D) 3 to 2

15) Find the odds in favor of rolling a number less than 3 when a fair die is rolled.

A) 1 to 1

B) 1 to 3

C) 2 to 3

D) 1 to 2

16) Find the odds in favor of getting a sum of 9 when two fair dice are rolled.

A) 1 to 7

B) 1 to 10

C) 1 to 8

D) 1 to 9

17) Find the odds in favor of getting a sum of 5 or 8 when two fair dice are rolled.

A) 1 to 4

B) 2 to 9

C) 1 to 9

D) 1 to 3

18) Find the odds against correctly guessing the answer to a multiple choice question with 3 possible answers.

A) 3 : 1

B) 2 : 1

C) 2 : 3

D) 3 : 2

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

An experiment is conducted for which the sample space is S = {a, b, c, d}. Decide if the given probability assignment is possible for this experiment. If the assignment is not possible, tell why.

19)

20)

21)

22)

23)

24)

25)