Chapter 12.5, Problem 24PPS

To determine

To find the probability.

Answer to Problem 24PPS

The probability $\text{P}\left(\text{heart or spade}\right)=\frac{1}{2}\text{ or 50\%}$ .

Explanation of Solution

Given information:

The given statement is:

  $\text{P}\left(\text{heart or spade}\right)$

Formula used:

The following formula is used:

  $\text{Probability}=\frac{\text{Number of possible outcomes}}{\text{Total number of outcomes}}$

Calculation :

The probability can be calculated by;

  $\begin{array}{l}\text{P}\left(\text{heart}\right)=\frac{13}{52}\\ \text{P}\left(\text{spade}\right)=\frac{13}{52}\\ \text{P}\left(\text{heart or spade}\right)=\frac{13}{52}+\frac{13}{52}\\ \text{P}\left(\text{heart or spade}\right)=\frac{26}{52}\\ \text{P}\left(\text{heart or spade}\right)=\frac{1}{2}\text{ or 50\%}\end{array}$

Hence, the probability $\text{P}\left(\text{heart or spade}\right)=\frac{1}{2}\text{ or 50\%}$ .