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# "If a fair die is rolled three times, what is the probability.."

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Intern
Joined: 02 Nov 2018
Posts: 11
"If a fair die is rolled three times, what is the probability.."  [#permalink]

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18 Mar 2019, 15:46
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"If a fair die is rolled three times, what is the probability that a 3 occurs on at least one roll?"

I know you can do this by finding the probability of NO 3s, then cubing this so (5/6)*(5/6)*(5/6) = 125/216 and then subtracting this from 1 to get 91/216 as the answer.

However, my question is how can I arrive at this answer by doing the opposite (so actually considering the probability of it being 3 and then taking it from here/).
Math Expert
Joined: 02 Sep 2009
Posts: 55150
Re: "If a fair die is rolled three times, what is the probability.."  [#permalink]

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18 Mar 2019, 21:10
jamalabdullah100 wrote:
"If a fair die is rolled three times, what is the probability that a 3 occurs on at least one roll?"

I know you can do this by finding the probability of NO 3s, then cubing this so (5/6)*(5/6)*(5/6) = 125/216 and then subtracting this from 1 to get 91/216 as the answer.

However, my question is how can I arrive at this answer by doing the opposite (so actually considering the probability of it being 3 and then taking it from here/).

Discussed here: https://gmatclub.com/forum/if-a-fair-di ... 12788.html
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Re: "If a fair die is rolled three times, what is the probability.."   [#permalink] 18 Mar 2019, 21:10
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