Consider a bag that contains 212 coins of which 4 are rare Indian pennies. For t

Question

Consider a bag that contains 212 coins of which 4 are rare Indian pennies. For the given pair of events A and B. complete parts (a) and (b) below. When one of the 212 coins is randomly selected, it is one of the 4 Indian pennies. When another one of the 212 coins is randomly selected (with replacement), it is also one of the 4 Indian pennies. Determine whether events A and B are independent or dependent, Find P(A and B), the probability that events A and B both occur. Choose the correct answer below. The two events are dependent because the 5% guideline indicates that they may be treated as dependent. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other. The two events are independent because the 5% guideline indicates that they may be treated as independent. The probability that events A and B both occur is (Round to six decimal places as needed.)

Explanation / Answer

Result:

a).

B. The two events are independent because the occurrence of one does not affect the probability of occurrence of the other.

( because with replacement).

b).

P= (4/212)*(4/212)

=0.000356

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