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

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Joined: 18 Apr 2015
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On average, a sharpshooter hits the target once every 3 shot [#permalink]  14 May 2019, 00:24
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18% (00:52) correct 81% (00:43) wrong based on 11 sessions
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) $$\frac{71}{81}$$
[Reveal] Spoiler: OA

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Joined: 22 Aug 2019
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Kudos [?]: 46 [0], given: 11

Re: On average, a sharpshooter hits the target once every 3 shot [#permalink]  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

Re: On average, a sharpshooter hits the target once every 3 shot   [#permalink] 22 Aug 2019, 19:30
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# On average, a sharpshooter hits the target once every 3 shot

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