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0 votes
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in Mathematics by (68.5k points)

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 

A. 1/243 

B. 10/243 

C. 11/243 

D. 13/243

1 Answer

+1 vote
by (45.7k points)
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Best answer

Correct option C. 11/243

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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