Chapter 12, Problem 125CUR

To determine

To find: The probability that both pencils are blue.

Answer to Problem 125CUR

The simplified answer is $\frac{20}{56}$ .

Explanation of Solution

Formula used:

Formula used is,

  $\text{p}\left(\text{A and B}\right)=\text{p(A)}\times \text{p}\left(\frac{\text{B}}{\text{A}}\right)$

Calculation:

  $\begin{array}{l}To\text{ evaluate the equation;}\\ p\left(A\right)=\frac{5}{8}\\ p\left(\frac{B}{A}\right)=\frac{4}{7}\\ \text{now putting in the above formula,}\\ \text{p}\left(A\text{ and }B\right)=p(A)\times p\left(\frac{B}{A}\right)\\ \text{p}\left(A\text{ and }B\right)=\frac{5}{8}\times \frac{4}{7}\\ \text{p}\left(A\text{ and }B\right)=\frac{20}{56}\end{array}$