Chapter 0.11, Problem 19E

To determine

The probability of a consonant.

Answer to Problem 19E

  $\mathrm{P}\left(aconsonant\right)=\frac{13}{24}$

Explanation of Solution

Given :

THE UNITED STATES OF AMERICA

Solution:

Vowels: a,e,i,o,u

There are 11vowels (E,U,I,E,A,E,O,A,E,I,A) in THE UNITED STATES OF AMERICA.

So, consonant = (24-11) 13

  $\begin{array}{l}totaloutcome=24\\ desiredoutcome=\left(24-11\right)=13\end{array}$

Probability:

  $\mathrm{Pr}obability=\frac{desiredoutcome}{totaloutcome}$

  $\mathrm{P}\left(aconsonant\right)=\frac{13}{24}$