HW Score: $19.79 \%, 3.17$ of 16 points
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below.
\begin{tabular}{c|c|c|}
\hline & Purchased Gum & Kept the Money \\
\hline Students Given Four Quarters & 28 & 16 \\
\hline Students Given a \$1 Bill & 11 & 27 \\
\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 $\square$.
- (Round to three decimal places as needed)
Answer
Final Answer: The probability of randomly selecting a student who spent the money, given that the student was given four quarters is \(\boxed{0.636}\).
Step 1 ：The question is asking for the conditional probability of a student spending the money given that the student was given four quarters. To calculate this, we need to divide the number of students who were given four quarters and spent the money by the total number of students who were given four quarters.
Step 2 ：From the table, we can see that 28 students were given four quarters and spent the money, and the total number of students who were given four quarters is 28 + 16 = 44.
Step 3 ：So, the probability is 28/44.
Step 4 ：Calculating this gives us a probability of approximately 0.636.
Step 5 ：Final Answer: The probability of randomly selecting a student who spent the money, given that the student was given four quarters is \(\boxed{0.636}\).
