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13 September, 19:15

In a class 26 of students, 17 have a brother and 7 have a sister. There are 4 students who do not have any siblings. What is the probability that a student has a brother given that they have a sister

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  1. 13 September, 22:59
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    Number of students = 26

    Number of students without siblings = 4

    ⇒ Number of students with at least one siblings = 26 - 4 = 22

    Number of students with brothers = 17

    Number of students with sisters = 7

    ⇒ Number of students with both a brother and a sister = 17 + 7 - 22 = 2

    P (student has a brother, given that they have a sister) = 2/7

    Answer: 2/7
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