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	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

Answer 1

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.