Answer to Question #303989 in Statistics and Probability for Joyce

Question

Two coins are tossed.Let H be the number of tails that occur. determine the values of the random variable H

Answer 1

Let's denote H - heads, T - tails.

Sample space S is all possible outcomes.

$$S = \{HH, TH, HT, TT\}$$

Let $h$ be the random variables representing the number of tails that occur. The possible values of $h$ are $0,1,2.$

$$\def\arraystretch{1.5} \begin{array}{c:c} Sample\ point & y \\ \hline HH & 0 \\ \hdashline TH & 1 \\ \hdashline HT & 1 \\ \hdashline TT & 2 \\ \hdashline \end{array}$$

$$\def\arraystretch{1.5} \begin{array}{c:c} h & 0 & 1 & 2 \\ \hline p(h) & 1/4 & 1/2 & 1/4 \end{array}$$