Chapter 12.5, Problem 20PPS

To determine

To find the probability.

Answer to Problem 20PPS

The probability $\text{P}\left(\text{blue, yellow}\right)=\frac{16}{145}\text{ or 11}\%$ .

Explanation of Solution

Given information:

The given statement is:

“A restaurant serves red, blue and yellow tortilla chips. The bowl of chips Gabriel receives has $10$ red chips, $8$ blue chips and $12$ yellow chips. After Gabriel chooses a chip, he eats it. Find the probability.”

  $\text{P}\left(\text{blue, yellow}\right)$

Formula used:

The following formula is used:

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

Calculation :

The events are dependent.

The probability can be calculated by:

  $\begin{array}{l}\text{P}\left(\text{blue}\right)=\frac{8}{30}\\ \text{P}\left(\text{yellow}\right)=\frac{12}{29}\\ \text{P}\left(\text{blue, yellow}\right)=\frac{8}{30}\times \frac{12}{29}\\ \text{P}\left(\text{blue, yellow}\right)=\frac{16}{145}\text{ or 11}\%\end{array}$

Hence, the probability $\text{P}\left(\text{blue, yellow}\right)=\frac{16}{145}\text{ or 11}\%$ .