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Three standard fair 6-sided dice are rolled. What is the expected number of 6's rolled? (For example, if two 6's and a 5 are rolled, then the answer is 2.)

 Nov 14, 2022
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Probability of exactly one six:        p1 = (1/6)*(5/6)^2*3

Probability of exactly two sixes:   p2 = (1/6)^2*(5/6)*3

Probwbility of exactly three sixes:  p3 = (1/6)^3

 

Expected number of sixes:  1*p1 + 2*p2 + 3*p3

 Nov 15, 2022
edited by Alan  Nov 15, 2022

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