Question

Two coins are tossed. Let T be the number of tails that occurs. Determine the values 

of the random variable T.

Answer 1

When two coin are tossed, the sample space is {$HH,HT,TH,TT$ }

Total number of samples =$4$

Let $\text{X}$ represent the number of tails.

Therefore, $\text{X}$ can take the value of $0,1 \text{ or } 2.$ .

So, Probability of getting 0 tails

$P(X=0)=\dfrac{1}{4}$

Probability of getting 1 tails

$P(X=1)=\dfrac{2}{4}=\dfrac{1}{2}$

Probability of getting 2 tails

$P(X=2)=\dfrac{1}{4}$

 Therefore The Probability distribution is given by-