GATE (TF) Textile 2018 Question Paper Solution | GATE/2018/TF/02

Question 02 (Textile Technology & Fibre Science)

If A and B are two independent events such that P(A)=\frac{1}{4} and P(B)=\frac{2}{3}, then P(A\cup B) is equal to

Answer / Solution

P(A\cup B)=P(A)+P(B)-P(A) \times P(B)
P(A\cup B)=\frac{1}{4}+\frac{2}{3}-\frac{1}{4} \times \frac{2}{3}
P(A\cup B)=\frac{3}{4} (Ans)

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