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 27 13 Students Given a​ $1 Bill 18 26 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 kept the​ money, given that the student was given four quarters. The probability is nothing . ​(Round to three decimal places as​ needed.) c. What do the preceding results​ suggest?

Answer 1

Purchases gum Kept the money Total

Four Quarters 27 13 40

$1 bill 18 26 44

Total 45 39 84

(a) P(Spent the money I given four quarters) =  P(Spent the money and  given four quarters)/ P(given four quarters )

= (27/84)/(40/84) = 0.675

(b)  P(Kept the money I given four quarters) =  P(Spent the money and given four quarters)/ P(given four quarters)

= (13/84)/(40/84) = 0.155

(c) The above results suggests the probability of spending the money is more than keeping if the student gets four Quarters .