Question

There are 200 students in the 7th grade class at Brookside Middle School. Of these students, 12% play volleyball and 15% play baseball. four students play on both teams. What is the probability that a student plays either volleyball or baseball?

a.27%
b.25%
c.22%
d.30%

Answer 1

Option B

Explanation:

Given that there are 200 students in 7th grade

Volley ball players = 12% = 24

Baseball players = 15% = 30

Both players = 4

We have to find out the probability that a student plays either volley ball or baseball

No of students who play either base ball or volley ball =

24+30-4= 50

Probability that student plays either volleyball or baseball

=
`(50)/(200) =0.25`

In percent this equals 25%

Option b

Answer 2

P(volleyball and baseball) = 4/200 x 100 = 2%
P(either volleyball or baseball) = P(volleyball ∪ baseball) = P(volleyball) + P(baseball) - P(volleyball and baseball) = 12% + 15% - 2% = 25%.

25% play either volleyball or baseball.