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.
- A.
1/9
- B.
5/9
- C.
1/27
- D.
19/27
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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.