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Basic Probability Conceptual Problems

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Basic Probability Conceptual Problems [#permalink] New post 23 Apr 2010, 23:28
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1. If John flips a coin three times, what is the probability that he will get a heads at least once?

2. If John flips a coin three times, what is the probability that it will turn up heads at least twice?
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Retired Moderator
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Status: The last round
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Concentration: Strategy, General Management
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Kudos [?]: 476 [0], given: 157

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Re: Basic Probability Conceptual Problems [#permalink] New post 24 Apr 2010, 04:03
Actually, I want to know the concept, so can you kindly explain your answers in detail. There is no official answer as I just made these questions.
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Re: Basic Probability Conceptual Problems [#permalink] New post 24 Apr 2010, 04:31
Expert's post
Hussain15 wrote:
1. If John flips a coin three times, what is the probability that he will get a heads at least once?

2. If John flips a coin three times, what is the probability that it will turn up heads at least twice?



1. If John flips a coin three times, what is the probability that he will get a heads at least once?

P(H\geq{1})=1-P(H=0)=1-(\frac{1}{2})^3=\frac{7}{8}

2. If John flips a coin three times, what is the probability that it will turn up heads at least twice?

P(H\geq{2})=P(H=2)+P(H=3)=\frac{3!}{2!}*(\frac{1}{2})^2*\frac{1}{2}+(\frac{1}{2})^3=\frac{1}{2}
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Re: Basic Probability Conceptual Problems   [#permalink] 24 Apr 2010, 04:31
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