An experiment consists of asking three Grade 10 students at random if they prefer to choose the Academic track or TVL track in the senior high school. Use A for Academic and T for TVL. Let Y represent the random variable representing the number of TVL track responses.

Let's denote A - Academic, T - TVL.

Sample space S is all possible outcomes of asking.

$S = \{AAA, TAA, ATA, AAT,$

$TTA, TAT, ATT, TTT\}$

Let $Y$ be a random variable giving the number of heads plus the number of tails in three tosses of a coin. The possible values of $T$ are $0,1,2,3.$

$\def\arraystretch{1.5} \begin{array}{c:c} Sample\ point & Y \\ \hline AAA & 0 \\ \hdashline TAA & 1 \\ \hdashline ATA & 1 \\ \hdashline AAT & 1 \\ \hdashline TTA & 2 \\ \hdashline TAT & 2 \\ \hdashline ATT & 2 \\ \hdashline TTT & 3 \\ \hdashline \end{array}$

$\def\arraystretch{1.5} \begin{array}{c:c} y & 0 & 1 &2 & 3 \\ \hline p(y) & 1/8 & 3/8 & 3/8 & 1/8 \\ \end{array}$