QuestionIn an experiment, college students were given either four quarters or a 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.
\begin{tabular}{c|c|c}
\hline & Purchased Gum & Kept the Money \\
\hline Students Given Four Quarters & 25 & 19 \\
\hline Students Given a \$1 Bill & 18 & 34 \\
\hline
\end{tabular}
a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters.
The probability-is 0.568 .
(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
(Round to three decimal places as needed.)
Studdy Solution
STEP 1
1. The total number of students given four quarters is the sum of those who purchased gum and those who kept the money.
2. Probability is calculated as the ratio of the number of favorable outcomes to the total number of outcomes.
STEP 2
1. Calculate the total number of students given four quarters.
2. Calculate the probability of a student keeping the money given they were given four quarters.
STEP 3
Calculate the total number of students given four quarters:
STEP 4
Calculate the probability of a student keeping the money given they were given four quarters:
STEP 5
Round the probability to three decimal places:
The probability is:
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