Conditional Probability | CIE IGCSE Maths: Extended Calculator Questions 2025

1

6 marks

Sonia has a bag containing 20 sweets.
In the bag, there are 5 red, 6 green and 9 yellow sweets.
Sonia chooses two sweets at random, without replacement, from the bag.

i)

\begin{matrix} \begin{matrix}  \end{matrix} \end{matrix}

Show that the probability that she chooses two green sweets is

\frac{3}{38}

.

[2]

ii)

Calculate the probability that the sweets she chooses are not both the same colour.

[4]

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1

3 marks

A group of 200 people were asked which city they would like to visit next.
The table shows the results.

City	London	Paris	New York	Tokyo
Number of people	50	48	56	46

Two people are chosen at random from the group of 200.

Find the probability that one person would like to visit London next and the other person would like to visit New York next.
Give your answer as a percentage.

............................................ %

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1a

3 marks

This year, 40 students have each travelled by one or more of plane ( $P$ ), train ( $T$ ) or boat ( $B$ ).

7 have travelled only by plane.
11 have travelled only by train.
9 have travelled only by boat.

n (P \cap T) = 8

n (B \cap T) = 3

n (B \cap P) = 6

cie-igcse-2020-march-p4-tz2-q9a

Complete the Venn diagram.

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1b

2 marks

Two students are chosen at random.

Calculate the probability that they both have travelled only by plane.

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1c

2 marks

Two students are chosen at random from those who have travelled by train.

Calculate the probability that they both have also travelled by plane.

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Very Hard

Area ( $A$ m²)	$20 < A \leq 60$	$60 < A \leq 100$	$100 < A \leq 150$	$150 < A \leq 250$
Frequency	32	64	80	24

Speed ( $v$ km/h)	$0 < v \leq 20$	$20 < v \leq 40$	$40 < v \leq 45$	$45 < v \leq 50$	$50 < v \leq 60$	$60 < v \leq 80$
Frequency	$16$	$34$	$62$	$58$	$26$	$4$

Conditional Probability (CIE IGCSE Maths: Extended)

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