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four fair dice `D_1, D_2,D_3 and D_4` each having six faces numbered 1,2,3,4,5 and 6 are rolled simultaneously. The probability that `D_4` shows a num

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four fair dice D1,D2,D3andD4 each having six faces numbered 1,2,3,4,5 and 6 are rolled simultaneously. The probability that D4 shows a number appearing on one of D1,D2,D3 is A. 91 216 B. 108 216 C. 125 216 D. 127 216 Select the correct answer from above options

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Correct Answer - A Required probability =1-Probability that number on D4 is different from number on D1,D2 and D3 =1-( .6C1×53 64 )=1- 125 216 = 91 216

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