Question

two coins are tossed let T the number of tails that occurs determine the values of the random variable T

Answer 1

Let $h$ denote a head and $t$ denote a tail. Then, possible events for 2 coins are: $ht$, $th$, $hh$, $tt$. The random variable $T$, which is defined on space $\Omega=\{ht,th,hh,tt\}$ , takes on values: $T(ht)=1, T(th)=1, T(hh)=0,T(tt)=2.$ The probabilities are as follows: $P(T=2)=P(tt)=0.25$, $P(T=1)=P(th,ht)=0.5$, $P(T=0)=P(hh)=0.25.$