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# Probability

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Intern
Joined: 08 Mar 2017
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08 Mar 2017, 09:34
Probability of getting 2 heads and 4 tails when flipping a coin 6 times

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6828
GMAT 1: 760 Q51 V42
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08 Mar 2017, 20:51
hernandezlarry1234 wrote:
Probability of getting 2 heads and 4 tails when flipping a coin 6 times

Sent from my iPhone using GMAT Club Forum mobile app

When we flip a coin 6 times, there are $$2^6 = 64$$ ways, $$[ H, H, H, H, H, H ], ... , [ T, T, T, T, T, T ]$$ in total.
The number of permutations with $$H, H, T, T, T, T$$ is $$\frac{6!}{4!2!} = \frac{5*6}{1*2} = 15$$.
Hence its probability is $$\frac{15}{64}$$.
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Re: Probability &nbs [#permalink] 08 Mar 2017, 20:51
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# Probability

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