Given that exactly two of the six rolls resulted in a 1, find the probability that the first roll resulted in a 1. Note: Your answer should

Question

Given that exactly two of the six rolls resulted in a 1, find the probability that the first roll resulted in a 1. Note: Your answer should be a number. Do not enter “!” or combinations in your answer.

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3 weeks 2021-11-19T05:00:07+00:00 1 Answer 0 views 0

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    2021-11-19T05:01:26+00:00

    Answer:

    1/3 or 0.333

    Step-by-step explanation:

    If we know that exactly 2 of the 6 rolls resulted in a 1. Then the number of ways to arrange the two 1s into 6 slots is

    C(6,2) = \frac{6!}{(6-2)!2!} = \frac{6*5}{2} = 15 ways

    Of these 15 ways, some of them have 1 at the 1 slot.

    The number of ways to arrange the two 1s so that one 1 is in the 1st slot is 5. Because the 2nd 1 is in any of the other 5 slots.

    Therefore,  the probability that the first roll resulted in a 1,given that exactly two of the six rolls resulted in a 1 is

    5 / 15 = 1/3 or 0.333

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45:7+7-4:2-5:5*4+35:2 =? ( )