Junior Certificate Examination 2011 Sample Paper Mathematics Page 7
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24Question 4
(Suggested maximum time: 10 minutes)
35 people coming back from America were asked if they had visited New York, Boston or
San Francisco. The results were as follows:
20 had visited New York.
13 had visited Boston.
16 had visited San Francisco.
7 had been to all three cities.
3 had been to both New York and San Francisco, but not Boston.
1 had been to both New York and Boston, but not San Francisco.
8 had been to Boston and San Francisco.
(a)
Display this information in a Venn diagram.
(b)
If one person is chosen at random from the group, what is the probability that the person had
not visited any of the three cities?
(c)
If one person is chosen at random, what is the probability that the person had visited
New York only?
(d)
If one person is chosen at random, what is the probability that the person had visited Boston
or New York?
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Junior Certificate 2011 – sample paper
Page 7 of 23
Project Maths, phase 1
Paper 2 – Higher Level
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