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On average, a sharpshooter hits the target once every 3 shot

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On average, a sharpshooter hits the target once every 3 shot [#permalink] New post   14 May 2019, 00:24
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On average, a sharpshooter hits the target once every 3 shots. What is the probability that he will hit the target in 4 shots?

(A) \(1\)

(B) \(\frac{1}{81}\)

(C) \(\frac{1}{3}\)

(D) \(\frac{65}{81}\)

(E) \(\frac{71}{81}\)
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Re: On average, a sharpshooter hits the target once every 3 shot [#permalink] New post   22 Aug 2019, 19:30
Carcass wrote:
On average, a sharpshooter hits the target once every 3 shots. What is the probability that he will hit the target in 4 shots?

(A) \(1\)

(B) \(\frac{1}{81}\)

(C) \(\frac{1}{3}\)

(D) \(\frac{65}{81}\)

(E) \(\frac{71}{81}\)


Calculate the probability he will miss all 4 shots!

(2/3)^4 = 16/81 is the chance of missing all the shots.

So 1 - 16/81 is the change that hits it at least once.
Evaluates to 65/81

Answer is D.
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Re: On average, a sharpshooter hits the target once every 3 shot [#permalink] New post   27 Dec 2025, 09:46
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: On average, a sharpshooter hits the target once every 3 shot [#permalink]
27 Dec 2025, 09:46
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