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Multiple Choice Questions

The probability that a ship safely reaches a port is 1 3 The probability that out of 5 ships at leas...........

Mathematics (NDA) Probability

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The probability that a ship safely reaches a port is 1 / 3 . The probability that out of 5 ships, at least 4 ships would arrive safely is -

1 / 243

10 / 243

11 / 243

13 / 243

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Explanation:

P(safely reaches) = 1/3

P(not reaches safely) = 1-1/3 = 2/3

P(at least 4 arrive safely) = P(4) + P(5)

= ⁵C₄ (1/3)⁴ (2/3) + ⁵C₅ (1/3)⁵

= 11 / 3⁵ = 11/243

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