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Date May 2014 Marks available 2 Reference code 14M.2.sl.TZ2.4
Level SL only Paper 2 Time zone TZ2
Command term Find Question number 4 Adapted from N/A

Question

Let AA and BB be independent events, where P(A)=0.3P(A)=0.3 and P(B)=0.6P(B)=0.6.

Find P(AB)P(AB).

[2]
a.

Find P(AB)P(AB).

[2]
b.

On the following Venn diagram, shade the region that represents AB.

[1]
c(i).

Find P(AB).

[2]
c(ii).

Markscheme

correct substitution     (A1)

eg     0.3×0.6

P(AB)=0.18     A1     N2

[2 marks]

a.

correct substitution     (A1)

eg   P(AB)=0.3+0.60.18

P(AB)=0.72     A1     N2

[2 marks]

b.

     A1     N1

c(i).

appropriate approach     (M1)

eg     0.30.18, P(A)×P(B)

P(AB)=0.12   (may be seen in Venn diagram)     A1     N2

[2 marks]

c(ii).

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c(i).
[N/A]
c(ii).

Syllabus sections

Topic 5 - Statistics and probability » 5.5 » Use of Venn diagrams, tree diagrams and tables of outcomes.
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