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Let A and B are two independent events such that P B = 1 2 and P A ∩ B = 1 10 , then the value of 9 P A - A ∪ B is

Correct answer

6

Step-by-step solution

P A ∩ B = P A · P B ⇒ P A = 1 5 Now, P A - A ∪ B = P A - ∩ A ∪ B P A ∪ B ⇒ P A - A ∪ B = P B - P A ∩ B 1 5 + 1 2 - 1 10 = 1 2 - 1 10 6 10 = 2 3 So, 9 P A - A ∪ B = 6

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