Use the table to answer the question.
Studying Online
COURSE TOOLS
Want the option to keep studying online
Don't want the option to keep studying online 5
Column total
Girls Boys Row total
3
10
13
7
12
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)
Item 1
Item 2
Item 3
Item 4
• Item 5
0s
0g+85-35
The mathematical sentence that can be used to calculate the probability of selecting a student who wants the option to keep studying online or is a boy is:
P(Wants to study online or is a boy) = (Number of students who want to study online + Number of boys - Number of students who want to study online and are boys) / Total number of students
P(Wants to study online or is a boy) = (10 + 7 - 5) / 25
P(Wants to study online or is a boy) = 12 / 25
IS IT 13/25x10/25
No, the correct calculation for the probability of selecting a student who wants the option to keep studying online or is a boy is:
P(Wants to study online or is a boy) = P(Wants to study online) + P(Is a boy) - P(Wants to study online and is a boy)
P(Wants to study online or is a boy) = 10/25 + 12/25 - 5/25
P(Wants to study online or is a boy) = 17/25
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
Thank you for providing the corrected distribution of students.
To calculate the probability of selecting a student who wants the option to keep studying online or is a boy, you need to find the total number of students who want to keep studying online (10) and the total number of boys (10). Then you subtract the number of students who are both boys and want to keep studying online (3) because they are counted twice.
P(Wants to study online or is a boy) = (Number of students who want to study online + Number of boys - Number of students who want to study online and are boys) / Total number of students
P(Wants to study online or is a boy) = (10 + 10 - 3) / 25
P(Wants to study online or is a boy) = 17 / 25
Therefore, the probability of selecting a student who wants the option to keep studying online or is a boy is 17/25.
is it 13/25x10/25?
To find the probability of selecting a student who wants the option to keep studying online (13/25) or is a boy (10/25), you need to add these probabilities and then subtract the intersection where a student is both a boy and wants to keep studying online.
P(Wants to study online or is a boy) = P(Wants to study online) + P(Is a boy) - P(Wants to study online and is a boy)
P(Wants to study online or is a boy) = 13/25 + 10/25 - 3/25
P(Wants to study online or is a boy) = 20/25
P(Wants to study online or is a boy) = 4/5
Therefore, the probability of selecting a student who wants the option to keep studying online or is a boy is 4/5 or 80%.