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Date May Specimen paper Marks available 5 Reference code SPM.1.SL.TZ0.2
Level Standard Level Paper Paper 1 (without calculator) Time zone Time zone 0
Command term Find Question number 2 Adapted from N/A

Question

Let A and B be events such that P(A)=0.5, P(B)=0.4 and P(AB)=0.6.

Find P(A|B).

Markscheme

attempt to substitute into P(AB)=P(A)+P(B)P(AB)    (M1)

Note: Accept use of Venn diagram or other valid method.

0.6=0.5+0.4P(AB)    (A1)

P(AB)=0.3 (seen anywhere)     A1

attempt to substitute into P(A|B)=P(AB)P(B)    (M1)

=0.30.4

P(A|B)=0.75(=34)    A1

[5 marks]

Examiners report

[N/A]

Syllabus sections

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