If A and B are two independent events such that \(P(\bar{A} \cap B)=\frac{2}{15}\) and \(P(A \cap \bar{B})=\frac{1}{6}\), then find P(A) and P (B) respectively.
A. \(\frac{5}{4}, \frac{4}{5}\)
B. \(\frac{1}{5}, \frac{1}{7}\)
C. \(\frac{1}{6}, \frac{1}{7}\)
D. \(\frac{1}{7}, \frac{1}{7}\)
Answer:A
If A and B are two independent events such that \(P(\bar{A} \cap B)=\frac{2}{15}\) and \(P(A \cap \bar{B})=\frac{1}{6}\), then find P(A) and P (B) respectively.
A. \(\frac{5}{4}, \frac{4}{5}\) B. \(\frac{1}{5}, \frac{1}{7}\) C. \(\frac{1}{6}, \frac{1}{7}\) D. \(\frac{1}{7}, \frac{1}{7}\)