The probability of solving a problem by A and b individually are  and . Then the probability that the problem is solved is

Answer (Detailed Solution Below)

Option 2 :
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Detailed Solution

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Concept:

If P(A) and P(B) is the probability of occurring any event independently, then P(A ⋃ B) = P(A) + P(B) - P(A ⋂ B) 

Calculation:

Probability of the problem being solved by A, P(A) = 

Probability of the problem being solved by B, P(B) = 

P(AB) =  = 

Then the probability that the problem is solved is

P(A ⋃ B) = P(A) + P(B) - P(AB)

 +  - 

 - 

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