Jeanne wants to start collecting coins and orders a coin collection starter kit. The kit comes with three coins chosen at random, each in a small envelope. Each coin is either a nickel, a dime, or a quarter. Use conditional probability to solve the following:
What is the probability that all three coins are quarters if the first two envelopes Jeanne opens each contain a quarter?
What is the probability that all three coins are different if the first envelope Jeanne opens contains a dime?
A)1/3;2/9
B)1/5;5/6
C)3/10;6/10
D)1/2;3/6