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Three dice are thrown. The probability of getting a sum which is a perfect square, is

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Three dice are thrown. The probability of getting a sum which is a perfect square, is A. 2/5 B. 9/20 C. 1/4 D. none of these Select the correct answer from above options

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Correct Answer - D Total numbers of elementary events =63 . The sum of the numbers on three dice varies from 3 to 18 and among these 4, 9 and 16 are perfect squares. ∴ Favourable number of elementary events = Coefficient of x4 in (x+x2+..+x6)3 + Coefficient of x9 in (x+x2+..+x6)3 + Coefficient of x16 in (x+x2+..+x6)3 =3+25+6=34 Hence, required probability = 34 63 = 17 108

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