Question

Twenty-two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs. Of the catalogs, 36 percent were for clothing. To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog?

Answer 1

Since 22% were not catalogs, 78% were catalogs. 36% of those were clothing:
.36 * .78 = .28 or 28%

Answer 2

28%

Explanation:

Given :

Twenty-two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs.

Of the catalogs, 36 percent were for clothing.

To Find: To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog

Solution:

Magazines = 22%=0.22

we are given that Rest are catalogs

So, catalogs = 100%-22% = 78% = 0.78

Of the catalogs, 36 percent were for clothing.

Out of catalogs Clothing = 0.36

So, probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog =
`0.36 * 0.78=0.2808`

To the nearest whole percent, the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog =
`0.2808 * 100=28.08\%`

Hence the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog to the nearest whole percent is 28%