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Date May 2009 Marks available 4 Reference code 09M.2.hl.TZ2.1
Level HL only Paper 2 Time zone TZ2
Command term Find Question number 1 Adapted from N/A

Question

In a class of 20 students, 12 study Biology, 15 study History and 2 students study neither Biology nor History.

(a)     Illustrate this information on a Venn diagram.

(b)     Find the probability that a randomly selected student from this class is studying both Biology and History.

(c)     Given that a randomly selected student studies Biology, find the probability that this student also studies History.

Markscheme

(a)

     A1A1

Note: Award A1 for a diagram with two intersecting regions and at least the value of the intersection.

 

(b)     920     A1

 

(c)     912(=34)     A1

 

[4 marks]

Examiners report

Although this was the best done question on the paper, it was disappointing that a significant number of candidates produced Venn diagrams with key information missing.

Syllabus sections

Topic 5 - Core: Statistics and probability » 5.2 » Use of Venn diagrams, tree diagrams, counting principles and tables of outcomes to solve problems.

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