P(A) = 1/5, P(B) = 5/7 হলে A ও B স্বাধীন হলে P(A U B) এর মান কত?

A 17/35

B 18/35

C 22/35

D 27/35

Solution

Correct Answer: Option D

দেয়া আছে,
P(A) = 1/5
P(B) = 5/7

যেহেতু A ও B স্বাধীন
P(A∩B) =  P(A).P(B)
            = (1/5) × (5/7)
            = 1/7

আমরা জানি,
P(A∪B) = P(A) + P(B) - P(A∩B)
            = P(A) + P(B) - P(A).P(B)
            = (1/5) + (5/7) - (1/7)
            = (7 + 25 - 5)/35
            = 27/35

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