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:

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

300pi

step-by-step explanation: