Probability

Probability 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{1}{5},\frac{5}{6}, P(B)= \frac{4}{5},\frac{1}{6}

P(A)=\frac{1}{5},\frac{7}{11}, P(B)= \frac{4}{5},\frac{4}{11}

P(A)=\frac{3}{8},\frac{2}{7}, P(B)= \frac{5}{8},\frac{4}{7}

None of the above

P(A)=\frac{2}{3},\frac{5}{6}, P(B)= \frac{1}{3},\frac{1}{6}