Answer:
18/25
Step-by-step explanation:
Total number of students = 23+14+10+3 = 50.
14 out of 50 are playing sport and taking a foreign language.
So the answer is (50 - 14) / 50
= 36/50
= 18/25.
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Explanation:
The wording your teacher provided is a bit strange in my opinion. Though I think they are referring to the people who aren't taking both classes at the same time, but they could be taking exactly one class.
We have 23+14+10+3 = 50 students total and 14 of them are taking both classes. So 50-14 = 36 students are taking exactly one class, or they are taking neither of the classes.
This leads to a probability of 36/50 = (2*18)/(2*25) = 18/25 which points to choice B as the answer.
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Side note:
If it asked "what is the probability that a student is not taking a sport AND not taking a foreign language?", then the probability would be 3/50 because there are 3 people not taking either class out of the 50 total. So the keyword "and" is the change made here, instead of the "or".
