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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

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by BTGmoderatorDC » Fri Oct 14, 2022 12:56 am

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Answers

A

B

C

D

E

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Difficulty—

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


OA E

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Re: If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times,

by Brent@GMATPrepNow » Fri Oct 14, 2022 6:54 am
BTGmoderatorDC wrote: ↑
Fri Oct 14, 2022 12:56 am
 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


OA E

Source: GMAT Prep
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

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Re: If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times,

by regor60 » Wed Nov 02, 2022 9:20 am
The question stipulates one pattern,

HHHTT

There are 2^5 = 32 possible patterns

So the answer must be 1/32
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Re: If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times,

by Scott@TargetTestPrep » Fri Nov 18, 2022 10:11 am
BTGmoderatorDC wrote: ↑
Fri Oct 14, 2022 12:56 am
 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


OA E

Source: GMAT Prep
Solution:

The probability that the first 3 flips are heads and last 2 flips are tails is:

P(HHHTT) = (1/2)^5 = 1/32.

Answer: E

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