Answer:
28%
Step-by-step 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 = \(0.36 \times 0.78=0.2808\)
To the nearest whole percent, the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog = \(0.2808 \times 100=28.08\%\)
Hence the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog to the nearest whole percent is 28%
