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The probability that a marksman will hit a target is given as 1/5. Then his probability of at least one hit in 10 shots, is?

1 - (4/5)10
1/ (5)10
1 - 1/ (5)10
(4/5)10

Correct Answer: 1 - (4/5)10

Explanation:

∵ p = 1/5
∴ q = 1 - 1/5 = 4/5
The probability that none will hit in 10 shots = (4/5)¹⁰
∴ Reqd. probability = 1 - (4/5)¹⁰

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