\"\"

\

P(B) = 0.3 , P( AUB ) = 0.65 and P( A∩B ) = 0.15.

\

Apply formula: P( AUB ) = P(A) + P(B)  P( A∩B )

\

Substitute : P(B) = 0.3 , P( AUB ) = 0.65 and P( A∩B ) = 0.15.

\

0.65 = P(A) + 0.3 − 0.15.

\

0.65 = P(A) + 0.15.

\

P(A) = 0.65  0.15.

\

P(A) = 0.5.

\

\"\"

\

P(A) = 0.5.