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# What is the probability of flipping a fair coin three times and the co

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Math Expert
Joined: 02 Sep 2009
Posts: 44566
What is the probability of flipping a fair coin three times and the co [#permalink]

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13 Dec 2016, 07:20
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25% (medium)

Question Stats:

68% (00:34) correct 32% (00:37) wrong based on 90 sessions

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What is the probability of flipping a fair coin three times and the coin landing on heads on exactly one flip?

A. 1/8
B. 1/4
C. 3/8
D. 1/2
E. 3/4
[Reveal] Spoiler: OA

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Joined: 13 Oct 2016
Posts: 367
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Re: What is the probability of flipping a fair coin three times and the co [#permalink]

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13 Dec 2016, 08:58
H T T = P(H)*P(T)*P(T)*# of arrangements = $$\frac{1}{2}*\frac{1}{2}*\frac{1}{2} * \frac{3!}{1!*2!} = \frac{3}{8}$$

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Re: What is the probability of flipping a fair coin three times and the co [#permalink]

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06 Apr 2018, 02:41
Bunuel wrote:
What is the probability of flipping a fair coin three times and the coin landing on heads on exactly one flip?

A. 1/8
B. 1/4
C. 3/8
D. 1/2
E. 3/4

No. of possible outcome of flipping of Coin = 2*2*2 = 8 (Each flip can be either H or T)
No. of events in which there will be H in exactly one flip = HTT, THT, TTH = 3

So, probability = 3/8

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Re: What is the probability of flipping a fair coin three times and the co   [#permalink] 06 Apr 2018, 02:41
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