document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #265615 by robertb(5830) $\"\"$ $\"About$

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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. \n" ); document.write( "

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