Question

A drawer contains 3 tank tops, 6 short-sleeve shirts, 4 three-quarter sleeve shirts, and 5 long-sleeve shirts. What is the probability of randomly choosing a tank top and then a three-quarter sleeve length, if you replace the tank top?

My Options are:
7/18
1/27
2/3
1/18

Answer 1

There is a total of 18 garments in the drawer. The probability of choosing a tank top is 3/18. The probability of choosing a three-quarter sleeve shirt is 4/18. The result of each choice is independent of the other, therefore the required probability is the product of the two values of probability.
Required probability is
\[\frac{3}{18}\times\frac{4}{18}=\frac{3\times4}{18\times18}=you\ can\ calculate\]
Hint: Remember to reduce the result to its lowest terms.

Answer 2

Thanks so much! This helped a lot! :)

Answer 3

You're welcome :)