Mathematics - Leaving Certificate Examination - Sample Paper - 2012 Page 4
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20Question 2
(25 marks)
The 2006 census shows that the number of males living in Ireland is about the same as the number
of females.
(a)
If a person is selected at random, write down the probability that the person is male.
Answer:
(b)
Four people are chosen at random. We are interested in whether they are male or female.
(i)
Complete the sample space below showing the sixteen equally likely outcomes.
M M M M
M M M F
(ii)
Hence, or otherwise, complete the table of probabilities below.
three males;
two males;
one male;
four males
four females
one female
two females
three females
1
16
(c)
A person states the following: “If you pick four people at random, it’s more likely than not
that you’ll get two males and two females.”
Is this statement correct? Justify your answer using the answer(s) to part (b).
Answer:
Justification:
Leaving Certificate 2012 – Sample Paper
Page 4 of 19
Project Maths, Phase 1
Paper 2 – Ordinary Level
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