SOLUTION: 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

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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?
What is the probability that the second can is Coke but the first is not?
What is the probability that at least one of the cans is Coke?
What is the probability one of each kind of cola was chosen?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
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?
%286%2F15%29%285%2F14%29%289%2F13%29+=+9%2F91
What is the probability that the second can is Coke but the first is not?
%289%2F15%29%286%2F14%29%2813%2F13%29+=+9%2F35
What is the probability that at least one of the cans is Coke?
1+-%289%2F15%29%288%2F14%29%287%2F13%29+=+53%2F65
What is the probability one of each kind of cola was chosen?
%286%2F15%29%285%2F14%29%284%2F13%29%2A3%21+=+24%2F91