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20 October, 18:13

What is the probability that three standard die, all rolled at the same time, will all land with a three facing up?

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  1. 20 October, 18:38
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    Okay lets change the question a bit that won't matter b'coz the question will be same after all. Instead of finding probability that 3 dices will land with a 3 facing up, find the probability that the 3 dices will land with same no facing up.

    S=sample space

    n (S) = number of total outcome of sample space=6*6*6=216 {since there are 3 dices}

    E=events that all 3 dices land with a same no facing up

    n (E) = no of ways in which the dice will have same no=6

    {b'coz at a time,; one face with same no will be facing up and in a dice there is 6 faces ... so at 6 different favourable ocassion there are 6 ways that the dice will have same no}

    then probability of getting same no is,

    P (E) = n (E) / n (S)

    =6/216 = 1/36 ANS ...
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