Question

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 a $1 bill	17	34

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 0.333.
(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 0.667.
(round to three decimal places as needed.)

c. what do the results of parts a and b suggest?

a. a student given a $1 bill is more likely to have kept the money than to have spent the money
b. a student given a $1 bill is more likely to have spent the money than a student given four quarters
c. a student given a $1 bill is more likely to have spent the money than to have kept the money
d. a student given a $1 bill is more likely to have kept the money than a student given four quarters

Explanation:

Step1: Analyze part a result

The probability of a student spending money given $1 bill is 0.333.

Step2: Analyze part b result

The probability of a student keeping money given $1 bill is 0.667.

Step3: Compare probabilities

Since 0.667 > 0.333, a student given a $1 bill is more likely to have kept the money than to have spent the money.

Answer:

A. A student given a $1 bill is more likely to have kept the money than to have spent the money