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What is P(Foreign Language n Sport)?

Sagot :

MrRoyal

Answer:

[tex]P(Foreign\ Language\ n\ Sport) = \frac{7}{25}[/tex]

Step-by-step explanation:

Given

See attachment for Venn diagram

Required

Determine [tex]P(Foreign\ Language\ n\ Sport)[/tex]

First, we calculate the population of the set.

This is calculated as:

[tex]Total = Sport + Foreign\ Language + None + Both[/tex]

This gives

[tex]Total = 23 + 10 + 3+14[/tex]

[tex]Total = 50[/tex]

So, the required probability is:

[tex]P(Foreign\ Language\ n\ Sport) = \frac{n(Foreign\ Language\ n\ Sport)}{Total}[/tex]

[tex]P(Foreign\ Language\ n\ Sport) = \frac{14}{50}[/tex]

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

So, we have:

[tex]P(Foreign\ Language\ n\ Sport) = \frac{7}{25}[/tex]

View image MrRoyal
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