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Find the probability of a choosing a student that is taking a foreign language, given that the student is playing a sport using the Venn Diagram below.

Find the probability of a choosing a student that is taking a foreign language, given-example-1

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Answer:

7/25

Explanation:

In simpler words, the problem wants us to find the probability of choosing a student that both play a sport and takes a foreign language.

To find this, we need to locate the intersection in the Venn diagram which is

14.

The intersection represents the number of students that both play a sport and take a foreign lang.

We have our favorable outcomes of 14.

Our total outcomes can be found by adding all the numbers like so:

23+14+10+3=50

The theoretical probability theorem is:

Number of favorable outcomes/number of total outcomes.

So our answer is 14/50, or simplified as 7/25!

Hope it helps! :))

User Marat Mkhitaryan
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