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# What is the Probability of getting exactly 2 sixes on three

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Intern
Joined: 05 Mar 2011
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What is the Probability of getting exactly 2 sixes on three [#permalink]

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20 Jan 2012, 16:02
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What is the Probability of getting exactly 2 sixes on three rolls of a fair six sided die?

OA:
[Reveal] Spoiler:
5/72
Math Expert
Joined: 02 Sep 2009
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Re: What is the Probability of getting exactly 2 sixes on three [#permalink]

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20 Jan 2012, 16:15
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Professor5180 wrote:
What is the Probability of getting exactly 2 sixes on three rolls of a fair six sided die?

Tha answer is 5/72. Don't know how they got it.

$$P=\frac{3!}{2!}*\frac{1}{6}*\frac{1}{6}*\frac{5}{6}=\frac{5}{72}$$: multiplying by 3!/2!=3 as {6}{6}{Other than 6} scenario can occur in 3 ways: {6}{6}{O}, {6}{O}{6}, {O}{6}{6} (# of permutation of 3 objects out of which 2 are identical).
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Re: What is the Probability of getting exactly 2 sixes on three [#permalink]

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20 Jan 2012, 16:32
Thank you very much Bunuel. Your speedy service beats Mc Donalds any day!
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Re: What is the Probability of getting exactly 2 sixes on three [#permalink]

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21 Oct 2014, 15:41
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Re: What is the Probability of getting exactly 2 sixes on three   [#permalink] 21 Oct 2014, 15:41
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