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Three dice are thrown. What is the probability of getting a sum which is a perfect square?

Options

  1. A17 108
  2. B5 108
  3. C19 108
  4. D23 108

Correct answer

A. 17 108

Step-by-step solution

aligned n ( ~s )=6 6 6 & =216 Since, sum is 4 & =(1,1,2) 3 ways sum is 9 & =(1,2,6) 6 ways & =(2,2,5) 3 ways & =(3,1,5) 6 ways & =(1,4,4) 3 ways & =(3,2,4) 6 ways & =(3,3,3) 1 way aligned Sum is 16=(4,6,6) 3 ways =(5,5,6) 3 ways So, required probability = 34 216 = 17 108

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