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...

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 below.
Purchased Gum Keep the Money
Students Given Four
Quarters
27 16
Students Given a $1
bill
12 34
a) Find the probability of randomly selecting a student who spent the money
on gum, given that the student was given four quarters.
b) Find the probability of randomly selecting a student who kept the money
on gum, given that the student was given four quarters.
c) What do the preceding result suggest?
d) Find the probability of randomly selecting a student who was given a $1
bill, given that this student spent the money on gum.
e) Find the probability of randomly selecting a student who was given a $1
bill.