Question

If E and F are two independent events such that $P(\overline{E}\cup F)=\frac{2}{15}$ and $P(E\cup \overline{F})=\frac{1}{6}$ then P(F) is

• A. $\frac{4}{6}$
• B. $\frac{3}{5}$
• C. $\frac{4}{5}$
• D. $\frac{1}{6}$

Answer 1

Answer: (C), (D)

The correct options are
C $\frac{4}{5}$
D $\frac{1}{6}$

Let P(E) = x, P(F) = y
Solve $x(1-y)=\frac{1}{6}$ and $y(1-x)=\frac{2}{15}$