Chapter 11, Problem 5CST

To determine

To find the probability of choosing 2 vanillas.

Answer to Problem 5CST

The probability of choosing 2 vanillas is $\frac{11}{130}$ . Thus option A is the correct answer.

Explanation of Solution

Given information:

The dataset is given in the question as,

  $\text{12 vanilla, 12 chocolate and 16 strawberry}$ cupcakes.

From the given dataset,

Probability can be obtained as,

  $\begin{array}{l}p\left(\text{vanilla}\right)=\frac{12}{40}\times \frac{11}{39}\\ p\left(\text{vanilla}\right)=\frac{3}{10}\times \frac{11}{39}\left[\text{multiply}\right]\\ p\left(\text{vanilla}\right)=\frac{33}{390}\left[\text{divide}\right]\\ p\left(\text{vanilla}\right)=\frac{11}{130}\end{array}$

From the above derivation, it can be concluded that,

  $p\left(\text{vanilla}\right)=\frac{11}{130}$

Therefore, the probability of choosing 2 vanillas is $\frac{11}{130}$ . Thus option A is the correct answer.