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 GumKept the Money Students Given Four Quarters3016 Students Given a​ $1 Bill1231 a. Find the probability of randomly selecting a student who spent the​ money, given that the student was given four quarters. The probability is?​(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?​(Round to three decimal places as​ needed.)c. What do the preceding results​ suggest?  A.A student given a​ $1 bill is more likely to have spent the money than a student given four quarters. B.A student was more likely to be given four quarters than a​ $1 bill. C.A student given four quarters is more likely to have spent the money than a student given a​ $1 bill. D.A student was more likely to have spent the money than to have kept the money.

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Asked Oct 17, 2019
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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
30
16
 
Students Given a​ $1 Bill
12
31
 
a. Find the probability of randomly selecting a student who spent the​ money, given that the student was given four quarters.
 
The probability is?
​(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?
​(Round to three decimal places as​ needed.)
c. What do the preceding results​ suggest?
 
 
A.
A student given a​ $1 bill is more likely to have spent the money than a student given four quarters.
 
B.
A student was more likely to be given four quarters than a​ $1 bill.
 
C.
A student given four quarters is more likely to have spent the money than a student given a​ $1 bill.
 
D.
A student was more likely to have spent the money than to have kept the money.
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Expert Answer

Step 1

From the given information,

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purchased Gum | Kept the Money Total Students given four quarters 16 46 30 Students given a $1 bill 12 31 43 Total 42 47 89

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Step 2

a.

The probability of randomly selecting a student who spent the​ money, given that the student was given four quarters is 0.652 and it is obtained below:

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spent the money and P students given four quarters P(students given four quarters) 'students given P spent the money four quarters 30 89 46 89 30 46 =0.652

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Step 3

b.

 

The probability of randomly selecting a student who spent the​ money, given that the ...

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spent the money and P students given$1 bill P(students given$1 bill) P(spent the money | students given $1 bill) 30 89 43 89 30 43 =0.698

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