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.
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Answer:
7/25
Step-by-step 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! :))