or the given pair of events A and B, complete parts (a) and (b) below. A: When a

Question

or the given pair of events A and B, complete parts (a) and (b) below. A: When a baby is born, it is a boy. B: When a 16-sided die is rolled, the outcome is 10. a. Determine whether events A and B are independent or dependent. (lf two events are technically dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent. b. Find P(A and B), the probability that events A and B both occur. a. Choose the correct answer below. O A. The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other. O B. The two events are independent because the 5% guideline indicates that they may be treated as independent. c. he two events are independent because the occurrence of one does not affect the probability of the occurrence of the other. D. he two events are dependent because the occurrence of one affects the probability of the occumence of the other. b. The probability that events A and B both occur is (Round to four decimal places as needed.

Explanation / Answer

1.b As it is clear that both A and B are independent.

P(AnB)=P(A).P(B)

Now P(A)=1/2 as we have two possibility.

P(B)=1/16 as it is 16 sided and every number have same probability of 1/16

so required probability is P(AnB)=1/2/*1/16=0.03125

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