If A and B are two mutually exclusive and exhaustive events with P(B) = 3P(A) then what is the value of P(B)?

Engineering

Mathematics

Conditional Probability

Question

$\frac{3}{4}$

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{2}{3}$

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Since P(A) and P(B) are two mutually exclusive and exhaustive events, P(A) + P(B) = 1 and P(B) = 3P(A)

P(A) + 3P(A) 1

4P(A) = 1

P(A) =

\frac{1}{4}

P(B) =

1 - \frac{1}{4} = \frac{3}{4}

P(B) =

1 - \frac{3}{4} = \frac{1}{4}

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