If P(A) = 0.6 P(B) = 0.5 and P(A|B) = 0.3. then find P(AUB)

Engineering

Mathematics

Conditional Probability

Question

$If P(A) = 0.6 P(B) = 0.5 and P(A|B) = 0.3. then find P(AUB)$

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P(A) = 0.6

P(B) = 0.5

P(A/B) = 0.3

⇒ $\frac{P (A \cap B)}{P (B)} = 0.3$

⇒ P(A∩B) = 0.3 x 0.5 = 0.15

∴ P(AUB) = P(A) + P(B) – P(A∩B)

= 0.6 + 0.5 – 0.15

= 0.95

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