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 31 14 Students Given a $1 Bill 13 25

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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
Students Given a $1 Bill
31
14
13
25
Transcribed Image Text: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 Students Given a $1 Bill 31 14 13 25
a. Find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill.
The probability is 0.342
(Round to three decimal places as needed.)
b. Find the probability of randomly selecting a student who kept the money, given that the student was given a $1 bill.
The probability is 0.658
(Round to three decimal places as needed.)
c. What do the preceding results suggest?
O A. Astudent given a S1 bill is more likely to have spent the money than a student given four quarters.
O B. Astudent given a $1 bill is more likely to have kept the money.
O C. Astudent given a $1 bill is more likely to have kept the money than a student given four quarters.
OD. Astudent given a S1 bill is more likely to have spent the money.
Transcribed Image Text:a. Find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill. The probability is 0.342 (Round to three decimal places as needed.) b. Find the probability of randomly selecting a student who kept the money, given that the student was given a $1 bill. The probability is 0.658 (Round to three decimal places as needed.) c. What do the preceding results suggest? O A. Astudent given a S1 bill is more likely to have spent the money than a student given four quarters. O B. Astudent given a $1 bill is more likely to have kept the money. O C. Astudent given a $1 bill is more likely to have kept the money than a student given four quarters. OD. Astudent given a S1 bill is more likely to have spent the money.
Expert Solution
Step 1

Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out of which m are favourable to the event A, then the probability of occurrence of the event A is denoted by P(A) and is given by 
P(A) = mn; 0mn

The data are given,

  Purchased gum Kept the money Total
Students given four quarters 31 14 45
Students given $1 bill 13 25 38
Total 44 39 83
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