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Date May 2018 Marks available 3 Reference code 18M.1.SL.TZ2.T_7
Level Standard Level Paper Paper 1 (with calculator from previous syllabus) Time zone Time zone 2
Command term Calculate Question number T_7 Adapted from N/A

Question

In an international competition, participants can answer questions in only one of the three following languages: Portuguese, Mandarin or Hindi. 80 participants took part in the competition. The number of participants answering in Portuguese, Mandarin or Hindi is shown in the table.

A boy is chosen at random.

State the number of boys who answered questions in Portuguese.

[1]
a.

Find the probability that the boy answered questions in Hindi.

[2]
b.

Two girls are selected at random.

Calculate the probability that one girl answered questions in Mandarin and the other answered questions in Hindi.

[3]
c.

Markscheme

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

20     (A1) (C1)

[1 mark]

a.

5 43 ( 0.11627 , 11.6279 )      (A1)(A1) (C2)

Note: Award (A1) for correct numerator, (A1) for correct denominator.

[2 marks]

b.

7 37 × 12 36 + 12 37 × 7 36      (A1)(M1)

Note: Award (A1) for first or second correct product seen, (M1) for adding their two products or for multiplying their product by two.

= 14 111 ( 0.12612 , 12.6126 )      (A1) (C3)

[3 marks]

c.

Examiners report

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

Syllabus sections

Topic 4—Statistics and probability » SL 4.2—Histograms, CF graphs, box plots
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Topic 4—Statistics and probability
Topic 5 —Calculus

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