We throw three independent fair dice. Find the probability that the sum of the outcomes is equal to 10.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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We throw three independent fair dice. Find the probability that the sum of the outcomes is equal to 10.

Expert Solution
Step 1

When die is rolled, there would be 6 possible outcomes1,2,3,4,5,6. For drawing three independent dice there would be 63=216 possible outcomes.

The outcomes that the sum is equal to 10 is,

1,3,61,4,51,5,41,6,32,2,62,3,52,4,42,5,32,6,23,1,63,2,53,3,43,4,33,5,23,6,14,1,54,2,44,3,34,4,24,5,15,1,45,2,35,3,25,4,16,1,36,2,26,3,1

That is 27 outcomes.

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