Chapter 13.3, Problem 11AYU

In Problems 11-16, construct a probability model for each experiment.

Tossing a fair coin twice

To determine

To find: The probability model for the given experiment.

Answer to Problem 11AYU

$P\left(HH\right)=1/4$

$P\left(HT\right)=1/4$

$P\left(TH\right)=1/4$

$P\left(TT\right)=1/4$

Explanation of Solution

Given:

Tossing a fair coin twice.

Formula used:

If $S$ is the sample space of this experiment,

$P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}$

Calculation:

Tossing affair coin twice.

The sample space is $\left\{HH,HT,TH,TT\right\}$.

Each outcome is equally likely to occur; So,

$P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}$

$P\left(HH\right)=1/4$

$P\left(HT\right)=1/4$

$P\left(TH\right)=1/4$

$P\left(TT\right)=1/4$