Question:medium

If \[ 3P(A)=P(B)=\frac{3}{5} \] and \[ P(A\mid B)=\frac{2}{3}, \] then \[ P(A\cup B) \] is:

Show Hint

Always decouple compound equalities like \( 3P(A) = P(B) = \text{value} \) into isolated algebraic equations first to prevent coefficient mistakes later.
  • \( \frac{3}{5} \)
  • \( \frac{1}{5} \)
  • \( \frac{2}{15} \)
  • \( \frac{2}{5} \)
Show Solution

The Correct Option is D

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