Probability

Discrete Mathematics Level 3

IF \(A\) and \(B\) are two independent events such that \(P (A^c \cap B ) =\dfrac2{15} \), and \( P (A \cap B^c) = \dfrac16 \), find \(P(A) \) and \(P(B) \).

\[P(A)=\frac{3}{8},\frac{2}{7}, P(B)= \frac{5}{8},\frac{4}{7}\] \[P(A)=\frac{1}{5},\frac{7}{11}, P(B)= \frac{4}{5},\frac{4}{11}\] \[P(A)=\frac{2}{3},\frac{5}{6}, P(B)= \frac{1}{3},\frac{1}{6}\] \[P(A)=\frac{1}{5},\frac{5}{6}, P(B)= \frac{4}{5},\frac{1}{6}\] None of the above

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