Question

Jane Doe has a drawer full of plain t-shirts which are either black or white. Jane has three times as many black t-shirts as white t-shirts. If Jane picked one of the t-shirts at random without looking, find the probability that the t-shirt picked is a white t-shirt.

Jane has twenty-eight t-shirts in the drawer in total.

The probability is

Answer 1

To find the probability that Jane picks a white t-shirt, we need to determine the number of white t-shirts in her drawer and divide it by the total number of t-shirts.

Let's denote the number of white t-shirts as "w" and the number of black t-shirts as "b."

Given that Jane has three times as many black t-shirts as white t-shirts, we can set up the equation:

b = 3w

Since Jane has a total of twenty-eight t-shirts:

b + w = 28

Substituting the value of b from the first equation into the second equation:

3w + w = 28

4w = 28

w = 7

Therefore, Jane has 7 white t-shirts in her drawer.

To find the probability of picking a white t-shirt, we divide the number of white t-shirts by the total number of t-shirts:

Probability = Number of white t-shirts / Total number of t-shirts

Probability = 7 / 28

Probability = 1/4

Therefore, the probability that Jane picks a white t-shirt is 1/4 or 0.25.