Suppose you roll 4 dice.
a) What is the probability that you get 4 different numbers?
b) What is the probability that you get '2 pairs' (two of one number and
two of another number?)
c) Now suppose that you continue rolling 4 dice over and over until you get
either get '4 different numbers' or 'two pairs'. What is the probability
that you get 'two pairs' first?