Daniel will randomly pick a marble from a bag that has three red marbles and six white. If he does not put any marble back into the bag and picks a new one each time, what is the probability that both marbles will be white. If he puts the first marble back into the bag and picks another, what is the probability that both are white?

Answer 1

Prob(2 white without replacement)
= (6/9)(5/8)
= 5/12

prob(2 white with replacement)
= (6/9)(6/9)
= 4/9