Question

What is P(A or B)...?

Answer 1

Answer:

Option: B is the correct answer.

            $B.\ \ \dfrac{7}{10}$

Step-by-step explanation:

We know that P(A or B) i.e. P(A∪B) is calculated by using the formula:

$P(A\bigcup B)=P(A)+P(B)-P(A\bigcap B)$

• 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:

$P(A)=\dfrac{4}{10}\\\\\\P(B)=\dfrac{5}{10}\\\\\\P(A\bigcap B)=\dfrac{2}{10}$

Hence, we have:

$P(A\bigcup B)=\dfrac{4}{10}+\dfrac{5}{10}-\dfrac{2}{10}\\\\\\i.e.\\\\\\P(A\bigcup B)=\dfrac{4+5-2}{10}\\\\\\i.e.\\\\\\P(A\bigcup B)=\dfrac{7}{10}$

Answer 2

the answer is A.) 3/10