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 rachels mail was a clothing catalog? 8% 28% 46% 61%

Explanation:

Step1: Calculate the percentage of catalogs

Since 22% are magazines, the percentage of catalogs is \(100\% - 22\%=78\%\).

Step2: Calculate the percentage of clothing catalogs

Of the catalogs (78%), 36% are for clothing. So we calculate \(78\%\times36\%=\frac{78}{100}\times\frac{36}{100}=0.78\times0.36 = 0.2808\).

Answer:

28%