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 Four Quarters	2525	1919
Students Given a​ $1 Bill	1414	3232

a. Find the probability of randomly selecting a student who spent the​ money, given that the student was given four quarters.

The probability is

b. Find the probability of randomly selecting a student who kept the​ money, given that the student was given four quarters.

The probability is

c. What do the preceding results​ suggest?

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

B.A student given four quarters is more likely to have kept the money.

C.A student given four quarters is more likely to have kept the money than a student given a​ $1 bill.

D.A student given four quarters is more likely to have spent the money.

Answer 1

	purchase	kept	total
4 quarter	25	19	44
$1	14	32	46
total	39	51	90

a)

probability of randomly selecting a student who spent the​ money, given that the student was given four quarters =25/44 =0.5682 (please try 0.568 if only 3 decimals are required)

b)

probability of randomly selecting a student who kept the​ money, given that the student was given four quarters =1-0.5682=0.4318 (please try 0.432 if only 3 decimals are required)

c)

D.A student given four quarters is more likely to have spent the money.