Question 378780
A cooler contains 6 cans of Coke, 5 cans of Pepsi and 4 cans of RC Cola. Three cans are chosen at random, one after another, without replacement.
What is the probability that the first two are both Coke?
{{{(6/15)(5/14)(9/13) = 9/91}}}

What is the probability that the second can is Coke but the first is not?
{{{(9/15)(6/14)(13/13) = 9/35}}}

What is the probability that at least one of the cans is Coke?
{{{1 -(9/15)(8/14)(7/13) = 53/65}}}

What is the probability one of each kind of cola was chosen?
{{{(6/15)(5/14)(4/13)*3! = 24/91}}}