Discussion :: Probability
- In a school, 45% of the students play football, 30% play volleyball and 15% both. If a student is selected at random, then the probability that he plays football or volleyball is:
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Answer : Option C
Explanation :
Given that, 45% play football; that is, P(F) = 45/100 = 9/20
30% play volley ball; that is, P(V) = 30/100 = 6/20
And, 15% play both volleyball and football; that is, P(F And V) = 15/100 = 3/20
Now, we have to find the probability that 1 student plays football or volley ball;
that we have to find, P(F or V)
We know that, P(F Or V) = P(F) + P(V) - P(F And V)
= 9/20 + 6/20 - 3/20 = 12/20 = 3/5.
Hence, the required probability 3/5.
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