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Date May 2017 Marks available 2 Reference code 17M.1.SL.TZ1.S_1
Level Standard Level Paper Paper 1 (without calculator) Time zone Time zone 1
Command term Find Question number S_1 Adapted from N/A

Question

In a group of 20 girls, 13 take history and 8 take economics. Three girls take both history and economics, as shown in the following Venn diagram. The values p and q represent numbers of girls.

M17/5/MATME/SP1/ENG/TZ1/01

Find the value of p ;

[2]
a.i.

Find the value of q .

[2]
a.ii.

A girl is selected at random. Find the probability that she takes economics but not history.

[2]
b.

Markscheme

valid approach     (M1)

eg p + 3 = 13 ,   13 3

p = 10     A1     N2

[2 marks]

a.i.

valid approach     (M1)

eg p + 3 + 5 + q = 20 ,   10 10 8

q = 2     A1     N2

[2 marks]

a.ii.

valid approach     (M1)

eg 20 p q 3 ,   1 15 20 ,   n ( E H ) = 5

5 20 ( 1 4 )     A1     N2

[2 marks]

b.

Examiners report

[N/A]
a.i.
[N/A]
a.ii.
[N/A]
b.

Syllabus sections

Topic 4—Statistics and probability » SL 4.5—Probability concepts, expected numbers
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