Compound Events Practice

Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Use the table to answer the question.

Studying Online

This table presents the number of girls and boys who want or do not want the option to continue studying online.
Girls Boys Row total
Want the option to keep studying online 10 3 13
Don’t want the option to keep studying online 5 7 12
Column total 15 10 25
What is the probability of selecting a student who wants the option to keep studying online? Write your answer in percent form.


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1 answer

To find the probability of selecting a student who wants the option to keep studying online, you can use the formula:

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

From the table:

  • The number of students who want the option to keep studying online is 13 (10 girls + 3 boys).
  • The total number of students is 25.

Now plug these numbers into the formula:

\[ \text{Probability} = \frac{13}{25} \]

To express this as a percentage, multiply the result by 100:

\[ \text{Probability as a percentage} = \left( \frac{13}{25} \right) \times 100 \]

Calculating this gives:

\[ \text{Probability as a percentage} = 52% \]

So, the probability of selecting a student who wants the option to keep studying online is 52%.