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    BMAT 2016 S1

    BMAT 2016 S1

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    This section is Section 1 of 3.

    Speed as well as accuracy is important in this section. Work quickly, or you might not finish the paper. There are no penalties for incorrect responses, only marks for correct answers, so you should attempt all 35 questions. Each question is worth one mark.

    You must complete the answers within the time limit. Calculators are NOT permitted.

    Good Luck!

    A school has 120 pupils, in five year groups. The following table gives some details about the numbers of boys and girls in each year group:

    There is a probability of 1 in 12 that a boy selected at random is in Year 4.

    1. What is the probability that a Year 4 pupil selected at random is a boy?
    • 0
    0

    Explanation

    The correct answer is D.

    First, quickly fill in the table. Filled sections are in red. 

    Year

    		 Boys Girls Total
    1 18 6

    24

    2

    		 40-24 = 16 24 40
    3 8 16-8 = 8

    16

    4

    		 1/12 chance of boy being in yr 4, 72/12 = 6 (no need to fill this in, but…) 16-6 = 10 120-(24+40+16+24) = 16
    5 72-(18+16+8+6) = 24 (No need to fill this in, but…) 24-24 = 0

    24

    Total

    		 120-48 = 72 48

    120

    So, the probability that out of all the students in year 4 we pick a boy, is 6/16 or D, 3/8.

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