Question

WARDROBE Your cousin spills spaghetti sauce on her shirt and asks to borrow a clean shirt from you for the rest of the day. You decide to let her choose from a selection of 4 sweatshirts, 1 hockey shirt, 8 T-shirts, and 3 tank tops. If it is equally likely that your cousin will choose any shirt, what are the odds that she will choose a sweatshirt?

Short answer

The probability that she will choose a sweatshirt is 0.25 or 25%

Step-by-step solution

Count Total Shirts

First, find the total number of shirts available. This is done by adding the number of each type of shirt together. Number of shirts = 4 (sweatshirts) + 1 (hockey shirt) + 8 (T-Shirts) + 3 (tank tops) = 16 shirts.

Identify Sweatshirts

Next, identify the number of sweatshirts available which is 4.

Calculate Probability

Then, calculate the probability of choosing a sweatshirt. Probability is calculated as the number of favorable outcomes (number of sweatshirts) divided by the total number of outcomes (total number of shirts). So, the probability = 4 (sweatshirts) / 16 (total shirts) = 0.25 or 25%.