P(A) = 1/3, P(B) = 3/4, A ও B স্বাধীন হলে P(A U B) এর মান কত?

A 3/4

B 1/3

C 5/6

D কোনোটিই নয়

Solution

Correct Answer: Option C

দেওয়া আছে,
P(A) = 1/3
P(B) = 3/4 

P(A∪B) = P(A) + P(B) - P(A∩B)
= P(A) + P(B) - P(A).P(B) [যেহেতু A ও B স্বাধীন]
= (1/3 + 3/4) - (1/3 × 3/4)
= 1/3 + 3/4 - 1/4
= (4 + 9 - 3)/12
 = 10/12
 = 5/6

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