Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th

# If P(A) = 23, P(B) = 25, P(A ∪ B) = 13, then find P(A ∩ B) - Mathematics

Sum

If P(A) = 2/3, P(B) = 2/5, P(A ∪ B) = 1/3, then find P(A ∩ B)

#### Solution

P(A ∪ B) = P(A) + P(B) – P(A ∩ B)

1/3 = 2/3 + 2/5 - "P"("A" ∩ "B")

P(A ∩ B) = 2/3 + 2/5 - 1/3

⇒ (10 + 6 - 5)/15

P(A ∩ B) = 11/15

Concept: Algebra of Events
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