In an experiment, 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. Complete parts (a) through (c) below.
Purchased Gum 
Kept the Money 


Students Given Four Quarters 
25 
13 

Students Given a $1 Bill 
19 
33 
a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters.
The probability is
nothing.
(Round to three decimal places as needed.)
b. Find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill.
The probability is
nothing.
(Round to three decimal places as needed.)
c. What do the preceding results suggest?
A.
A student was more likely to have spent the money than to have kept the money.
B.
A student given four quarters is more likely to have spent the money than a student given a $1 bill.
C.
A student given a $1 bill is more likely to have spent the money than a student given four quarters.
D.
A student was more likely to be given four quarters than a $1 bill
Here the given table is
Purchased Gum  Kept the Money  Total  
Students Given Four Quarters  25  13  38 
Students Given a $1 Bill  19  33  52 
Total  44  46  90 
probability of randomly selecting a student who spent the money, given that the student was given four quarters.
= 25/38 = 0.658
(b) probability of randomly selecting a student who spent the money, given that the student was given a $1 bill = 19/52 = 0.3654
(c) Here as we see probability in part (a) > part(b),so,
A student given four quarters is more likely to have spent the money than a student given a $1 bill. Option B is correct here.
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