Chapter 12.5, Problem 28PPS

To determine

To find the probability.

Answer to Problem 28PPS

The probability $\text{P}\left(\text{five, then red}\right)=\frac{8}{221}\text{ or 3}\text{.6\%}$ .

Explanation of Solution

Given information:

The given statement is:

  $\text{P}\left(\text{five, then red}\right)$

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;

  $\begin{array}{l}\text{P}\left(\text{five}\right)=\frac{4}{52}\\ \text{P}\left(\text{red}\right)=\frac{24}{51}\\ \text{P}\left(\text{five, then red}\right)=\frac{4}{52}\times \frac{24}{51}\\ \text{P}\left(\text{five, then red}\right)=\frac{8}{221}\text{ or 3}\text{.6\%}\end{array}$

Hence, the probability $\text{P}\left(\text{five, then red}\right)=\frac{8}{221}\text{ or 3}\text{.6\%}$ .