A coin is tossed twice and outcomes are recorded. If the random variable X represents the number of heads in the experiment, then the expectation of X will be:

1

The correct answer is Option (2) → 1

Possible values of $X$: $0,1,2$.

Probabilities:

$P(X=0)=\frac{1}{4}$, $P(X=1)=\frac{2}{4}$, $P(X=2)=\frac{1}{4}$

Expectation:

$E(X)=0\cdot\frac{1}{4}+1\cdot\frac{2}{4}+2\cdot\frac{1}{4}$

$=\frac{0+2+2}{4}=1$

final answer: $1$