a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters.
b. Find the probability of randomly selecting a student who kept the money, given that the student was given four quarters.
c. What do the preceding results suggest?
In an experiment to study the effects of using four quarters or a $1 bill, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table (based on data from "The Denomination Effect," by Priya Raghubir and Joydeep Srivastava, Journal of Consumer Research, Vol. 36).

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Purchased Gum Kept the Money 27 16 Students Given Four Quarters Students Given a $1 bill 12 34