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11 March, 11:26

In a class of 26 student, 15 of them like maths, 13 of them like english and 9 of them don't like maths or english.

Find the probability that a student chosen at random like english but not maths.

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  1. 11 March, 11:55
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    2/26

    Step-by-step explanation:

    The total number of students = 26 students

    Number of students that like maths = 15 students

    Number of students that like English = 13 students

    Number of students that does not like English or maths = 9

    We have to find the number of students that likes both Maths and English.

    Therefore,

    Let x be the number of student that like both Maths and English subjects

    15 - x + x + 13 - x + 9 = 26

    -x + 37 = 26

    -x = - 11

    x = 11

    Number of student that offer english but not math

    Number of students that like English but not Maths = Number of Students that like English - Number of students that like English and Maths

    = 13 - 11 = 2

    Therefore, probability that a student chosen at random like English but not Maths.

    Probability = Number of events : Number of possible outcomes

    Number of events = Number of students that like English but not Maths = 2

    Number of Possible outcomes = Total number of students = 26

    The probability that a student chosen at random like English but not Maths.

    = 2/26
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