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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]  14 May 2019, 00:26
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51% (00:58) correct 48% (00:46) wrong based on 31 sessions
On average, a sharpshooter hits the target once every 3 shots. What is the probability that he will not hit the target until 4th shot?

(A) $$1$$

(B) $$\frac{8}{81}$$

(C) $$\frac{16}{81}$$

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

(E) $$\frac{71}{81}$$
[Reveal] Spoiler: OA

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Joined: 27 Aug 2019
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Re: On average, a sharpshooter hits the target once every 3 shot [#permalink]  10 Oct 2019, 12:34
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The probability of not hitting the target is 2/3. Hence 2/3 for each bad shot and 1/3 for every good shot:

2/3*2/3*2/3*1/3 = 8/81

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Re: On average, a sharpshooter hits the target once every 3 shot   [#permalink] 10 Oct 2019, 12:34
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