Analysis and Approaches for IBDP Maths Ebook 1 | Page 240

Your Practice Set – Analysis and Approaches for IBDP Mathematics
Exercise 77
1. There are 20 students in a classroom, and each student studies only one extra language.
The table below gives their choices of languages and gender.
Spanish French German
Male 3 2 4
Female 3 3 5
(a)
One student is selected at random.
(i)
Calculate the probability that the student is a male or studies French.
(b)
(ii) Given that the student selected is female, calculate the probability that the
student does not study Spanish.
[4]
Two students are selected at random. Calculate the probability that neither student
studies German.
[3]
2. There are 50 people in a house, and each person wears a uniform of different colours. The
table below gives their colours of uniforms and gender.
Red Yellow Green Blue
Male 5 2 10 5
Female 10 3 5 10
(a)
One person is selected at random.
(i)
Calculate the probability that the person is a female or wears a yellow
uniform.
(b)
(ii)
Given that the person selected is female, calculate the probability that the
person does not wear a red uniform.
Two people are selected at random. Calculate the probability that both of them
wear blue uniforms.
[4]
[3]
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