Chapter 12.8, Problem 3LC

To determine

To find: The probability of choosing a yellow card and then a D if the first card is replaced.

Answer to Problem 3LC

The probability of choosing a yellow card and then a D if the first card is replaced is $\frac{3}{25}$ .

Explanation of Solution

The expression for probability of an event is given by,

  $P\left(E\right)=\frac{\text{Favorable}\text{Outcomes}}{\text{Possible}\text{outcomes}}$

The probability of $P\left(\text{yellow}\text{then}\text{D}\right)$ is calculated as,

  $\begin{array}{c}P\left(\text{yellow}\text{then}\text{D}\right)=P\left(\text{Yellow}\right)\cdot P\left(\text{D}\text{after}\text{yellow}\right)\\ =\frac{3}{5}\cdot \frac{1}{5}\\ =\frac{3}{25}\end{array}$

Therefore, the probability of choosing a yellow card and then a D if the first card is replaced is $\frac{3}{25}$ .