Online Shopping Survey 427 different adult women were randomly selected and asked what they purchase online, and 162 of the women said that they purchase clothes online

(based on a survey by the Consumer Reports Research Center).

a. If 2 of the surveyed women are randomly selected without replacement, what is the probability that they both chose the category of clothing?

b. If 10 different surveyed women are randomly selected without replacement, what is the probability that none of them chose the category of clothing?