You have a box of chocolates that contains 18 pieces of which: 9 are solid chocolate, 5 are filled with cashews, and 4 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. (a) Find the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates.    (b) Find the probability of selecting a solid chocolate piece and two cherry-filled chocolates in any order.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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You have a box of chocolates that contains 18 pieces of which:
9 are solid chocolate,
5 are filled with cashews, and
4 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.

(a) Find the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates.   

(b) Find the probability of selecting a solid chocolate piece and two cherry-filled chocolates in any order.   

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