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

Question

For the given pair of events A and B, complete parts (a) and (b) below A: When a baby is born, it is a girl B: When a 12-sided die is rolled, the outcome is 8. f two events are echnically dependent but can be reated as if hey are independent according o te 5% guide ne consider them to be independent a. Determine whether events A and B are independent or dependent b. Find P(A and B), the probability that events A and B both occur. a. Chocse the correct answer below. )A The two events are independent because the 5% guideline indicates that they may be treated as independent. B. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other. C. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other 0 D. The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other b. The probability that events A and B both occur is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer.

Explanation / Answer

P(A) = 1/2 and P(B) = 1/12

(b) Since A and B are independent, P(A and B) = P(A) * P(B)

P(A and B) = (1/2) * (1/12) = 0.0417

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