Question

Consider a coin for which the probability of obtaining head in a single toss is $\frac{1}{3}$. Sunita tosses the coin once. If head appears, she receives a random amount of $X$ rupees, where $X$ has the $\text{Exp}\left( \frac{1}{9} \right)$ distribution. If tail appears, she loses a random amount of $Y$ rupees, where $Y$ has the $\text{Exp}\left( \frac{1}{3} \right)$ distribution. Her expected gain (in rupees) is equal to __________ (answer in integer).

Answer 1

The correct Answer is : 1 -1(Approx.)