Question

Use the table to answer the question.

Studying Online

This table presents the number of girls and boys who prefer or do not prefer 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
Which mathematical sentence can be used to calculate the probability of selecting a student who wants the option to keep studying online or is a boy?

(1 point)
Responses

1325+1025
Start Fraction 13 over 25 End Fraction plus Start Fraction 10 over 25 End Fraction

1325+1025−325
Start Fraction 13 over 25 End Fraction plus Start Fraction 10 over 25 End Fraction minus Start Fraction 3 over 25 End Fraction

325
Start Fraction 3 over 25 End Fraction

1325×1025

Answer 1

To find the probability of selecting a student who wants the option to keep studying online or is a boy, we can use the formula for the probability of the union of two events:

P(A or B) = P(A) + P(B) - P(A and B)

Where:
- P(A) is the probability of selecting a student who wants to keep studying online.
- P(B) is the probability of selecting a boy.
- P(A and B) is the probability of selecting a student who is both wanting to study online and is a boy.

From the table:
- The total number of students is 25.
- The number of students who want to keep studying online is 13 (10 girls + 3 boys).
- The number of boys is 10.

Now, we can determine the probabilities:
- P(A) = 13/25
- P(B) = 10/25
- P(A and B) = 3/25 (which is the number of boys who want to study online)

Now we can plug these values into the formula:

P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = (13/25) + (10/25) - (3/25)

So, the correct mathematical sentence corresponding to this probability calculation is:

**Start Fraction 13 over 25 End Fraction plus Start Fraction 10 over 25 End Fraction minus Start Fraction 3 over 25 End Fraction**.

Therefore, the correct response is:

**1325+1025−325**.