Question

In Bill the Boring's dryer there are 3 black shirts, 8 gray shirts, 13 black sweaters, and 7 gray sweaters. Bill is going to take one of these pieces of clothing out

of the dryer at random to check if his clothes are completely dry. What is the probability that the piece of clothing Bill takes out is gray or is a shirt?
Do not round intermediate computations, and round your answer to the nearest hundredth.

Answer 1

0.58

Explanation:

First, we need to find the total number of pieces of clothing in the dryer. We do this by adding up the number of black shirts, gray shirts, black sweaters, and gray sweaters: 3 + 8 + 13 + 7 = 31

Next, we need to find the number of gray pieces of clothing in the dryer. We do this by adding up the number of gray shirts and gray sweaters: 8 + 7 = 15

Now we can find the probability of Bill taking out a gray piece of clothing by dividing the number of gray pieces of clothing by the total number of pieces of clothing: 15/31

To find the probability of Bill taking out a shirt, we add the number of black shirts and gray shirts: 3 + 8 = 11

Now we can find the probability of Bill taking out a shirt by dividing the number of shirts by the total number of pieces of clothing: 11/31

To find the probability that the piece of clothing Bill takes out is gray or is a shirt, we add the probability of Bill taking out a gray piece of clothing and the probability of Bill taking out a shirt.

So the probability that the piece of clothing Bill takes out is gray or is a shirt is: (15/31)+(11/31)= 0.58 rounded to the nearest hundredth.