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Simple and Compound Event

If A and B ar...

Question

If A and B are two events associated with a random experiment such that
P(A) = 0.5, P(B) = 0.3 and P (A ∩ B) = 0.2, find P (A ∪ B).

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Solution

Given:
P(A) = 0.5, P (B) = 0.3 and P (A ∩ B) = 0.2
By addition theorem, we have:
P (A ∪ B) = P(A) + P (B) $-$ P (A ∩ B)
⇒ P (A ∪ B) = 0.5 + 0.3 $-$ 0.2
= 0.8 $-$ 0.2 = 0.6
Hence, P (A ∪ B) = 0.6

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