Consider a bag that contains 225 coins of which 4 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below.

a: when one of the 225 coins is randomly selected, it is one of the 4 indian pennies.
b: when another one of the 225 coins is randomly selected (with replacement), it is also one of the 4 indian pennies.

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) Independent

b) P(A and B) = 0.000316 or 0.0316%

Step-by-step explanation:

a) Since it is specified that the selection of the coin in event B happens with replacement, the events are independent because each event does not interfere in the probability of the other. If there was no replacement, whether a rare coin was selected or not in event A would impact event B and then event B would depend on A.

b) For each event, there is a 4 in 225 chance of selecting a rare Indian penny. Therefore, P (A and B) is:

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yes the data was not prsented

step-by-step explanation: