Question

A drawer contains 4 tank tops, 5 short-sleeve shirts, 4 three-quarter sleeve shirts, and 6 long-sleeve shirts. What is the probability of randomly choosing a tank top and then a three-quarter sleeve length, if you don't replace a tank top?

1. 8/171
2. 4/9
3. 2/9
4. 1/18

Answer 1

The probability of randomly choosing a tank top and then a three-quarter sleeve length, if you don't replace a tank top, is 8/171.

Step-by-step explanation:

To find the probability of randomly choosing a tank top and then a three-quarter sleeve length, we need to consider the total number of possible outcomes and the number of favorable outcomes.

There are a total of 4+5+4+6 = 19 shirts in the drawer.

First, we randomly select a tank top. There are 4 tank tops in the drawer.

Then, without replacing the tank top, we want to select a three-quarter sleeve length. There are 4 three-quarter sleeve shirts remaining in the drawer.

Therefore, the probability of randomly choosing a tank top and then a three-quarter sleeve length, if you don't replace a tank top, is 4/19 * 4/18 = 16/342 = 8/171.

Answer 2

1. 8/171
Because 4/19•4/18=8/171