Answer to Question #313185 in Statistics and Probability for Shaine

Question

Two coins are tossed. Let T be the number of tails that occur.

Construct the probability histogram.

Answer 1

The probability of obtaining a tail from a toss is $\frac12$.

When two coins are tossed there are 3 possible outcomes of T

1. Both tosses are heads hence $T=0$
2. One head and one tail obtained hence $T=1$
3. Both tosses are tails hence $T=2$

The probability distribution of T is;

$\begin{matrix} T &~~~0&~~~1&~~~2\\P(T)&~~~\frac14&~~~\frac12&~~~\frac14\end{matrix}$

The probability histogram of T is;