Question

1. Which of the following statements is true? A If events A and B are complements,...

1. Which of the following statements is true?

A

If events A and B are complements, then the intersection of A and the complement of B is the sample space.

B

If events A and B are mutually exclusive, then the intersection of A and B is the empty set.

C

If events A and B are mutually exclusive, then the union of A and B is the sample space.

D

If events A and B are mutually exclusive, then the union of A and B is the empty set.

2.

Suppose you roll a pair of dice. Let A be the event that you observe an even number. Let B be the event that you observe a number greater than seven.
What is the intersection of events A and B?

A

​[8, 10, 12]

B

​[7, 8, 9, 10, 11, 12]

C

​[2, 4, 6, 8, 10, 12]

D

​[2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]

3.

If P(A)= 0.2, the P(B)=0.6 and P( A and B)= 0.15, what is the probability of A given B has occurred?

A

0.11

B

0.20

C

0.25

D

0.40

Math   Statistics-And-Probability   
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