SOLUTION: An ice chest contains 6 cans of apple juice,8 cans of grape juice,5 cans of orange juice, and 4 cans of pineapple juice. Suppose that you reach into the container and randomly sele

Question 373055: An ice chest contains 6 cans of apple juice,8 cans of grape juice,5 cans of orange juice, and 4 cans of pineapple juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting no grape juice.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
There are 6 + 5 + 4 = 15 apples, oranges, and pineapples all in all. The number of ways of selecting three of these in order is 15*14*13 = 2730. The total number of ways of selecting any three of 6 + 5 + 4 + 8 = 23 apples, oranges, pineapples, and grapes is 23 * 22*21 = 10,626. The probability of selecting no grape is thus 2,730/10,626 = 65/253 = 0.2569, to 4 decimal places.
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