Chapter 13, Problem 37SGA

To determine

To find: The probability of the given event.

Answer to Problem 37SGA

The probability of getting a prime number or a multiple of four is $\frac{9}{14}$ .

Explanation of Solution

Given:

The given events: One paper is drawn at random from a box contains slips of paper numbered from one to fourteen and selecting a prime number or a multiple of four.

Calculation:

The set of all possible outcomes are as:

  $\left\{2,3,4,5,7,8,11,,12,13\right\}$ .

The probability of getting a prime number or a multiple of four is calculated as:

  $\begin{array}{c}P\left(\text{gettin a prime number or a multiple of 4}\right)=\frac{\text{Possible outcomes}}{\text{Total outcomes}}\\ =\frac{9}{14}\end{array}$

Therefore the probability of getting a prime number or a multiple of four is $\frac{9}{14}$ .