Answer:
Option: B is the correct answer.
[tex]B.\ \ \dfrac{7}{10}[/tex]
Step-by-step explanation:
We know that P(A or B) i.e. P(A∪B) is calculated by using the formula:
[tex]P(A\bigcup B)=P(A)+P(B)-P(A\bigcap B)[/tex]
- Now based on the pie chart we see that the total number of students who were surveyed are: 10
- The number of students who love to play basketball are: 4
( The students are: Fran, Juan , Ian and Ella )
- Number of student who love to play soccer are: 5
( The students are: Mickey, Mai, Marcus , Ian and Ella)
- The number of student who love to play both basketball and soccer i.e. n(A∩B)= 2
( since those students are: Ian and Ella)
Hence, we have:
[tex]P(A)=\dfrac{4}{10}\\\\\\P(B)=\dfrac{5}{10}\\\\\\P(A\bigcap B)=\dfrac{2}{10}[/tex]
Hence, we have:
[tex]P(A\bigcup B)=\dfrac{4}{10}+\dfrac{5}{10}-\dfrac{2}{10}\\\\\\i.e.\\\\\\P(A\bigcup B)=\dfrac{4+5-2}{10}\\\\\\i.e.\\\\\\P(A\bigcup B)=\dfrac{7}{10}[/tex]
