Consider a bag that contains 223 coins of which 4 are rare Indian pennies. For t

Question

Consider a bag that contains 223 coins of which 4 are rare Indian pennies. For the given pair of evem A: When one of the 223 coins is randomly selected, it is one of the 4 Indian pennies B: When another one of the 223 coins is randomly selected (with replacement), it is also one of the 4 Indian 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. Choose the correct answer below O A. The two events are dependent because the occurrence of one affects 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 O C. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other D. The two events are dependent because the 5% guideline indicates that they may be treated as dependent b. The probability that events A and B both occur is Round to six decimal places as needed.)

Explanation / Answer

Solution:-
a. option C. The two events are independent 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 0.000322.

=> (4/223) x (4/223) = 0.00032

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