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The probability that a given problem will be solved by A, B and C are 2/3, 5/7 and 4/5 respectively. Find the probability of the problem being solved?

A.	40/105	B.	101/105
C.	103/105	D.	None of the above

Answer and Explanation

Answer:103/105

Explanation:
Given P(A) = 2/3, P(B) = 5/7 and P(C) = 4/5
=> Probability of problem being solved
=> P(A U B U C) = 1 â€“ (A ᴖ B ᴖ C)
=> 1 â€“ P(A), P(B) P(C)
=> = 1 P(A dash) P(B dash) P(C dash)
=> = 1 â€“ 1/3(2/7)(1/5) = 1 â€“ 2/105
P(A U B U C) = 103/105

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