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
  2. 1.5
  3. 2
  4. 0.5

Solution

Let random variable $X$ denotes the gain. $\therefore \quad$ Probability distribution of X is given as
$\therefore \quad$ Expectation $=\frac{-1+2-3+4-5+6}{6}=0.5$

Asked in: MHT CET 2024 (03 May Shift 1)

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