Probability of solving specific problem independently by A and B are `1/2`and `1/3`respectively. If both try to solve the problem independently find the probability that(i) the problem is solved (ii) exactly one of them solves the problem.

Probability of solving specific problem independently by A and B are `

1.	Probability of solving specific problem independently by A and B are `1/2`and `1/3`respectively. If both try to solve the problem independently find the probability that(i) the problem is solved (ii) exactly one of them solves the problem.
Answer» Here, `P(A) = 1/2` `P(B) = 1/3` `P(AnnB) = 1/2**1/3 = 1/6` Probablity that problem will be solved, `P(AuuB) = P(A)+P(B)-P(AnnB)` `=1/2+1/3-1/6 = (3+2-1)/6 = 4/6 = 2/3` Probablity exactly one of them will solve the problem = Probablity either of them solve the problem `- `Probablity both of them solve the problem =`P(AuuB)-P(AnnB) `= `2/3-1/6 = 3/6 = 1/2`

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Probability of solving specific problem independently by A and B are `1/2`and `1/3`respectively. If both try to solve the problem independently find the probability that(i) the problem is solved (ii) exactly one of them solves the problem.

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