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Date May 2019 Marks available 2 Reference code 19M.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

The following Venn diagram shows the events A and B , where P ( A ) = 0.3 . The values shown are probabilities.

Find the value of p .

[2]
a.

Find the value of q .

[2]
b.

Find P ( A B ) .

[2]
c.

Markscheme

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

valid approach        (M1)

eg      0.30 − 0.1, p + 0.1 = 0.3

p  = 0.2        A1 N2

[2 marks]

a.

valid approach        (M1)

eg     1 − (0.3 + 0.4), 1 − 0.4 − 0.1 −  p

q  = 0.3        A1 N2

[2 marks]

b.

valid approach        (M1)

eg      0.7 + 0.5 0.3 p + q + 0.4 1 0.1 ,   P ( A B ) = P ( A ) + P ( B ) P ( A B )

P ( A B ) = 0.9        A1 N2

[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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