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Math Help - Rolling Dice Question

  1. #1
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    Arrow Rolling Dice Question

    So I've been trying to solve this one which looks pretty straight forward, but I'm just not 100% sure about my solution. so any help is really appreciated.

    Q: When 6 six-sided dice are rolled at the same time, whats the probability of getting at least 2 sixes?

    I tried solving it by trying to find the probability of getting 0 and 1 six.

    Probability of getting no sixes: (5/6)^6 = 0.3349
    Probability of getting one six: 6*(1/6)(5/6)^5 = 0.4019

    so the probability of getting at least two sixes is,
    1 - (0.3349 + 0.4019) = 0.2632 ????

    the probability of getting no sixes is pretty straight forward. however, getting one six was a bit tricky.. i considered a single instance of rolliing six dice where 1 dice has 1/6 of getting a six and the other 5 have 5/6 of not getting a six.. the outcome is, 6XXXXX.. and there are 6 different combinations of this.. so i multiplied it by six..

    so what do you think.. is this correct or am I looking at it the wrong way? thanks for your help!
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  2. #2
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    Quote Originally Posted by Zipper View Post
    So I've been trying to solve this one which looks pretty straight forward, but I'm just not 100% sure about my solution. so any help is really appreciated.

    Q: When 6 six-sided dice are rolled at the same time, whats the probability of getting at least 2 sixes?

    I tried solving it by trying to find the probability of getting 0 and 1 six.

    Probability of getting no sixes: (5/6)^6 = 0.3349
    Probability of getting one six: 6*(1/6)(5/6)^5 = 0.4019

    so the probability of getting at least two sixes is,
    1 - (0.3349 + 0.4019) = 0.2632 ????

    the probability of getting no sixes is pretty straight forward. however, getting one six was a bit tricky.. i considered a single instance of rolliing six dice where 1 dice has 1/6 of getting a six and the other 5 have 5/6 of not getting a six.. the outcome is, 6XXXXX.. and there are 6 different combinations of this.. so i multiplied it by six..

    so what do you think.. is this correct or am I looking at it the wrong way? thanks for your help!
    You are correct.
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