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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 `D_1, D_2,D_3 and D_4` each having...
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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 number appearing on one of `D_1,D_2,D_3` is Select the correct answer from above options
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Nov 15, 2021
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JackTerrance
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Required Probablity =`(.^6C_1 * 1/6*1/6* 5/6 * 5/6).^3C_1 + (.^6C_1*1/6*1/6*1/6*5/6).^3C_2 + .^6C_1*1/6*1/6*1/6*1/6` =`1/6^3[3 xx 25 + 3 xx 5 + 1]` `= 1/216[75+ 15+1]` `= 91/216` option A is correct
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