A person throws an unbiased die. If the number shown is even, he gains an amount equal to the number shown:…
A person throws an unbiased die. If the number shown is even, he gains an amount equal to the number shown: If the number is odd, he loses an amount equal to the number shown. Then his expectation is ₹.
1
1.5
2
0.5
Solution
Let random variable $X$ denotes the gain.
$\therefore \quad$ Probability distribution of X is given as
$\therefore \quad$ Expectation $=\frac{-1+2-3+4-5+6}{6}=0.5$