Question

What is P(Foreign Language n Sport)?

Answer 1

`P(Foreign\ Language\ n\ Sport) = (7)/(25)`

Explanation:

Given

See attachment for Venn diagram

Required

Determine
`P(Foreign\ Language\ n\ Sport)`

First, we calculate the population of the set.

This is calculated as:

`Total = Sport + Foreign\ Language + None + Both`

This gives

`Total = 23 + 10 + 3+14`

`Total = 50`

So, the required probability is:

`P(Foreign\ Language\ n\ Sport) = (n(Foreign\ Language\ n\ Sport))/(Total)`

`P(Foreign\ Language\ n\ Sport) = (14)/(50)`

14 represents the intersection between Foreign and Sport i.e. n(Foreign n Sport)

So, we have:

`P(Foreign\ Language\ n\ Sport) = (7)/(25)`