GATE 2020 EC – Question 35
The two sides of a fair coin are labelled as 0 and 1. The coin is tossed two times independently. Let $M$ and $N$ denote the labels of the outcomes of those two tosses. For a random variable $X$, defined as $X=\min(M,N)$, the expected value $E(X)$ (rounded off to two decimal places) is ________.
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Show answer and explanation
Correct answer: 0.24 to 0.26
Explanation
$X=1$ only when both tosses give 1, with probability $\frac14$. Otherwise $X=0$. So $E(X)=1\times\frac14=0.25$.