A grocery clerk inspects the daily egg shipment by repeatedly selecting a random individual carton until she finds one that has a cracked egg in it. Suppose that 3% of the cartons have cracked eggs in them. What expressions would provide the probability that the first defective carton she finds is the eighth one that she select?

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 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.