Chapter 13.8, Problem 9PPS

To determine

To calculate: Total number of outcomes in the given situation using fundamental counting principle.

Answer to Problem 9PPS

  $24$ is the possible outcome for the given condition.

Explanation of Solution

Given information:

Condition:

A month of the year is picked at random and a coin is tossed.

As per given information,

Event $A$ :

If a month of year is picked randomly then possible outcomes are,

  $\begin{array}{l}\left\{JAN,FEB,MAR,APR,MAY,JUNE,JULY,AUG,SEPT,OCT,NOV,DEC\right\}\\ =12\end{array}$

Event $B$ :

When a coin is tossed, possible outcomes are,

  $\begin{array}{l}\left\{H,T\right\}\\ =2\end{array}$

Using fundamental counting principle,

  $\begin{array}{l}S\left(A\right).S\left(B\right)=P\left(S\right)\\ =12\times 2\\ =24\end{array}$

Therefore, Total number of outcomes in the given situation using fundamental counting principle is $24$ .