Question

In Bill the Boring's dryer there are 9 black shirts, 7 gray shirts, 8 black sweaters, and 5 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 black or is a shirt? Do not round intermediate computations, and round your answer to the nearest hundredth.

Answer 1

First, let's find the total number of pieces of clothing in the dryer:

Total = 9 black shirts + 7 gray shirts + 8 black sweaters + 5 gray sweaters = 29

Next, let's find the number of pieces of clothing that are either black or a shirt:

Black or shirt = 9 black shirts + 7 gray shirts + 8 black sweaters = 24

So the probability that the piece of clothing Bill takes out is black or a shirt is:

P(black or shirt) = (Black or shirt) / (Total) = 24/29 ≈ 0.83

Rounded to the nearest hundredth, the probability is 0.83.