Multiple Choice Questions on In a school 45 of the students play football 30 play volleyball and 15 both If a student is selected........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

In a school 45 of the students play football 30 play volleyball and 15 both If a student is selected...........

Quantitative Aptitude ( CCS) Probability
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    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:

    2/7

    Incorrect Answer

    3/5

    Correct Answer

    1/4

    Incorrect Answer

    4/5

    Incorrect Answer
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    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, option 2 is the correct answer.

    By: Amit Kumar
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