Answer to Question #298497 in Statistics and Probability for Ralph Russell

Question

Two coins are tossed. Let H be the number of tails that occur. Determine the values of the

random variable H.

Answer 1

When two coins are tossed,the sample space is

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

Let $H$ be the number of tails that occur. The random variable $H$ takes values of $0,1,2.$

$$P(H=0)=1/4$$

$$P(H=1)=2/4=1/2$$

$$P(H=2)=1/4$$

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