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If a certain coin is flipped, the probability that the coin
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03 Sep 2020, 10:41
03 Sep 2020, 10:41
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Question Stats:
74% (00:44) correct
25% (01:37) wrong based on 43 sessions
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If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what is the probability that it will land heads up on the first 3 flips and not on the last 2 flips?
A. 3/5
B. 1/2
C. 1/5
D. 1/8
E. 1/32
A. 3/5
B. 1/2
C. 1/5
D. 1/8
E. 1/32
Re: If a certain coin is flipped, the probability that the coin
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03 Sep 2020, 10:41
03 Sep 2020, 10:41
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
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Re: If a certain coin is flipped, the probability that the coin
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03 Sep 2020, 11:32
03 Sep 2020, 11:32
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Carcass wrote:
If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what is the probability that it will land heads up on the first 3 flips and not on the last 2 flips?
A. 3/5
B. 1/2
C. 1/5
D. 1/8
E. 1/32
A. 3/5
B. 1/2
C. 1/5
D. 1/8
E. 1/32
We want P(heads on 1st AND heads on 2nd AND heads on 3rd AND tails on 4th AND tails on 5th)
= P(heads on 1st) x P(heads on 2nd) x P(heads on 3rd) x P(tails on 4th) x P(tails on 5th)
= 1/2 x 1/2 x 1/2 x 1/2 x 1/2
= 1/32
Answer: E
Cheers,
Brent
