A Jss2 class is made up of 12 boys and 8 girls. If a student is selected at random, what is the probability that it is: a) a boy? b) a girl?

Mathematics

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  1. Determine the total number of students in the class.

    Number of boys = 12
    Number of girls = 8
    Total number of students = Number of boys + Number of girls
    Total number of students = 12+8=2012 + 8 = 20

  2. Calculate the probability of selecting a boy.

    The probability of selecting a boy is the number of boys divided by the total number of students.

    P(Boy)=Number of boysTotal number of studentsP(\text{Boy}) = \frac{\text{Number of boys}}{\text{Total number of students}} P(Boy)=1220P(\text{Boy}) = \frac{12}{20} P(Boy)=35P(\text{Boy}) = \frac{3}{5}

    a) The probability that it is a boy is 35\boxed{\frac{3}{5}}.

  3. Calculate the probability of selecting a girl.

    The probability of selecting a girl is the number of girls divided by the total number of students.

    P(Girl)=Number of girlsTotal number of studentsP(\text{Girl}) = \frac{\text{Number of girls}}{\text{Total number of students}} P(Girl)=820P(\text{Girl}) = \frac{8}{20} P(Girl)=25P(\text{Girl}) = \frac{2}{5}

    b) The probability that it is a girl is 25\boxed{\frac{2}{5}}.

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