Chapter 12.8, Problem 3P

To determine

To find the probability of choosing a yellow card and then a D if the first card is replaced before the second card is drawn.

Answer to Problem 3P

  $\frac{3}{25}$

Explanation of Solution

Given:

There are $5$ cards and $3$ are yellow in color.

Calculation:

There are $5$ cards and $3$ are yellow in color.

Therefore probability of yellow card is $P(\text{Yellow})=\frac{3}{5}$

Now, there will be again $5$ cards left since the card is replaced.

And the P (D after Yellow) $=\frac{1}{5}$

P (Yellow then D) $=$ P (Yellow) $\times$ P (D after Yellow)

  $=\frac{3}{5}\times \frac{1}{5}=\frac{3}{25}$