Conditional Probability | CIE IGCSE Maths: Extended Paper 2 & Paper 4 2023

1

5 marks

cie-igcse-2020-oct-nov-p4-tz2-q6a

The diagram shows six discs.
Each disc has a colour and a number.

Two of the six discs are picked at random without replacement.

Find the probability that

i)

both discs have the number 3,

[2]

ii)

both discs have the same colour.

[3]

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1

3 marks

cie-igcse-2020-oct-nov-p4-tz3-q4a

Morgan picks two of these letters, at random, without replacement.

Find the probability that he picks

i)

the letter Y first,

[1]

ii)

the letter B then the letter Y.

[2]

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1

9 marks

cie-igcse-2020-oct-nov-p4-tz3-q4a

Morgan picks three of these letters, at random, without replacement.

Find the probability that

i)

all three letters are the same,

[2]

ii)

exactly two of the three letters are the same,

[5]

iii)

all three letters are different.

[2]

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

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

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	$16$	$34$	$62$	$58$	$26$	$4$

CIE IGCSE Maths: Extended