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If A and B are two events such that P A = 4 7 , P A ∩ B = 3 28 and the conditional probability P A A c ∪ B c (where A c denotes the compliment of the event A ) is equal to λ , then the value of 26 λ is equal to

Correct answer

50

Step-by-step solution

P A A c ∪ B c = P A ∩ A ∩ B c P A ∩ B c = P A ∩ B c 1 - P A ∩ B = P A - P A ∩ B 1 - P A ∩ B = 4 7 - 3 28 25 28 = 13 25 = λ

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