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Date May 2019 Marks available 2 Reference code 19M.1.SL.TZ2.T_5
Level Standard Level Paper Paper 1 Time zone Time zone 2
Command term Find Question number T_5 Adapted from N/A

Question

A school café sells three flavours of smoothies: mango (M), kiwi fruit (K) and banana (B).
85 students were surveyed about which of these three flavours they like.

35 students liked mango, 37 liked banana, and 26 liked kiwi fruit
2 liked all three flavours
20 liked both mango and banana
14 liked mango and kiwi fruit
3 liked banana and kiwi fruit

Using the given information, complete the following Venn diagram.

[2]
a.

Find the number of surveyed students who did not like any of the three flavours.

[2]
b.

A student is chosen at random from the surveyed students.

Find the probability that this student likes kiwi fruit smoothies given that they like mango smoothies.

[2]
c.

Markscheme

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

    (A1)(A1) (C2)

Note: Award (A1) for 18, 12 and 1 in correct place on Venn diagram, (A1) for 3, 16 and 11 in correct place on Venn diagram.

[2 marks]

a.

85 − (3 + 16 + 11 + 18 + 12 + 1 + 2)      (M1)

Note: Award (M1) for subtracting the sum of their values from 85.

22      (A1)(ft)  (C2)

Note: Follow through from their Venn diagram in part (a).
If any numbers that are being subtracted are negative award (M1)(A0).

[2 marks]

b.

1435(25,0.4,40)     (A1)(ft)(A1)(ft)  (C2)

Note: Award (A1) for correct numerator; (A1) for correct denominator. Follow through from their Venn diagram.

[2 marks]

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 4—Statistics and probability » SL 4.6—Combined, mutually exclusive, conditional, independence, prob diagrams
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Topic 4—Statistics and probability

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