SOLUTION: You have a box of chocolates that contains 55 pieces of which 32 are solid chocolate, 16 are filled with cashews, and 7 are filled with cherries. All the candies look exactly alike

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Question 1184346: You have a box of chocolates that contains 55 pieces of which 32 are solid chocolate, 16 are filled with cashews, and 7 are filled with cherries. All the candies look exactly alike. You select a piece, eat it, select a second piece, eat it, and finally eat one last piece. Find the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates.
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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You have a box of chocolates that contains 55 pieces of which 32 are solid chocolate, 16 are filled with cashews, and 7 are filled with cherries.
All the candies look exactly alike. You select a piece, eat it, select a second piece, eat it, and finally eat one last piece.
Find the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates.
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    P = %2832%2F55%29%2A%287%2F54%29%2A%286%2F53%29 = 1344%2F156410 = 224%2F26235 = 0.008538.    ANSWER

Solved.

The used formula is self-explanatory.