SOLUTION: You have a box of chocolates that contains 20 pieces of which: 5 are solid chocolate, 8 are filled with cashews, and 7 are filled with cherries. All the candies look exactly al

Question 1159688: You have a box of chocolates that contains 20 pieces of which:
5 are solid chocolate,
8 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.
(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.

Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.


(a)  P =  =  =  = 0.030702.     ANSWER



(b)  I interpret these words "in any order", as if they relate to each such a triple.


     P =  = 


               Next,   = 5;    =  = 7*3 = 21;    =  = 20*19*6 = 2280.


       = (therefore, I continue) =  =  =  = 0.0460.      ANSWER

Solved.

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