The probability that A, B and C can solve a problem are and respectively. The probability of the problem being solved by A and B is , B and C is , A and C is . The probability of the problem being solved by all the three is .
Find the probability that the problem can be solved by at least one of them.
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P(A) = 4/5
P(B) = 2/3
P(C) = 3/7
P(B⋂C) = 2/7
P(A⋂C) = 12/35
P(at liast ane) = P(AUBUC)
=P(A) + P(B) + P(C)
– P(A⋂B) – P(B⋂C)
+ P(A⋂B⋂C)
.
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