Apps. and Interpretation for IBDP Maths Ebook 1 | Page 272

Your Practice Set – Applications and Interpretation for IBDP Mathematics
3. In a class of 100 boys, 85 boys play football and 45 boys play rugby. Each boy must play
at least one sport from football and rugby.
(a)
(b)
(c)
(d)
Find the percentage of boys who play both sports.
Find the percentage of boys who play rugby only.
Find the percentage of boys who play only one sport.
One boy is selected at random.
[2]
[2]
[2]
(i)
Given that the boy selected plays football, find the probability that he
plays rugby also.
(ii) Given that the boy selected plays only one sport, find the probability that
he plays rugby.
[4]
It is also given that 60% of the boys are taller than 180 cm and 90% of these boys play
football.
(e) (i) Write down the percentage of boys who is taller than 180 cm and play
football.
(ii)
Hence, find the percentage of boys who is not taller than 180 cm and play
football.
[3]
4. A survey of the reading habits of a group of students revealed that 35% read free
newspapers, 50% read paid newspapers and 25% do not read newspapers at all.
(a)
(b)
(c)
(d)
Find the percentage of students who read both types of newspapers.
Find the percentage of students who only read paid newspapers.
Write down the percentage of students who read newspapers.
One student is selected at random.
[2]
[2]
[1]
(i)
(ii)
Given that the student selected reads newspapers, find the probability that
he reads paid newspapers only.
Given that the student selected reads paid newspapers, find the probability
that he reads free newspapers also.
[4]
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