Analysis and Approaches for IBDP Maths Ebook 1 | Seite 241

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3. 25 students from three countries completed a school survey about the preferences of fruits.
The table below gives their choices of fruits and nationalities.
Apple Orange Banana
Japan 2 1 6
Portugal 1 5 3
Greece 4 2 1
(a)
One student is selected at random.
(i)
Calculate the probability that the student is not from Japan or likes apple.
(b)
(ii) Given that the student selected likes orange, calculate the probability that
the student is from Portugal.
[4]
Two students are selected at random. Calculate the probability that both of them
are from Greece.
[3]
4. 100 students from four countries completed a questionnaire about the preferences of
hobbies. The table below gives their choices of hobbies and nationalities, where a and b
are positive integers.
18
Hiking Reading Jogging
Vietnam 5 15 a
Cambodia 15 5 5
Laos 5 10 10
Thailand 5 15 b
One student is selected at random. It is given that the probability that the student is from
Vietnam is 6 25 .
(a) Find the values of a and b .
[3]
(b) Given that the student selected does not like hiking, calculate the probability that
the student is not from Cambodia.
[2]
(c) Two students are selected at random. Calculate the probability that both of them
are from Thailand and like jogging.
[3]
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