Question

There are 200 students in the 8th grade class at Alleghany Middle School. Of these students, 8% play basketball and 14% play soccer. Six students play on both teams. What is the probability that a student plays either basketball or soccer?

Answer 1

19%

Explanation:

just took my final ( A P E X )

Answer 2

The probability that a student plays either basketball or soccer is 19% or 0.19.

Explanation:

Let A be the event that student play basketball and B be the event that student play soccer.

`P(A)=8\%`

`P(B)=14\%`

It is given that 6 students play on both teams.

`P(A\cap B)=(6)/(200)* 100=3\%`

We have to find the probability that a student plays either basketball or soccer.

`P(A\cup B)=P(A)+P(B)-(A\cap B)`

`P(A\cup B)=8\%+14\%-3\%`

`P(A\cup B)=19\%`

Therefore the probability that a student plays either basketball or soccer is 19% or 0.19.