A man can hit a target once in 3 shots. If he fires 3 shots in succession,…

2024

A man can hit a target once in 3 shots. If he fires 3 shots in succession, find the probability that he will hit his target.

  1. A.

    1/9

  2. B.

    5/9

  3. C.

    1/27

  4. D.

    19/27

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Show answer & explanation

Correct answer: D

Let the probability of hitting the target with a single shot be 1/3.

Then the probability of missing the target with a single shot is 1 - 1/3 = 2/3.

Assuming the three shots are independent:

  • Probability of missing all three shots = (2/3)^3 = 8/27.

  • Probability of hitting the target at least once in three shots = 1 - 8/27 = 19/27.

So, the probability that he hits the target is 19/27.

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