CAIE IGCSE Mathematics Core 8 Probability Topic Practice

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Covered syllabus points

C8.1 Introduction to probabilityC8.2 Relative and expected frequenciesC8.3 Probability of combined events

Question 1

[Maximum number: 1]

Kim has a 6-sided spinner numbered 1 to 6 .
She spins it 63 times and her scores are shown in the table.

Table for Question 1 — CAIE IGCSE Mathematics Core

Find the relative frequency of scoring a 5 with this spinner.

Question 2

[Maximum number: 3]

A bag contains 6 red balls, 4 green balls and 2 blue balls.
Zia takes a ball from the bag at random.
The diagram shows a probability scale.

Figure for Question 2 — CAIE IGCSE Mathematics Core

Which arrow shows the probability that,

Question (a)

(a)

Zia takes a green ball

[ 1 ]

Question (b)

(b)

Zia takes a yellow ball

[ 1 ]

Question (c)

(c)

Zia does not take a blue ball.

[ 1 ]

Question 3

[Maximum number: 4]

There are 2 sets of traffic lights on Li's journey to work.
The probability he stops at the first set of traffic lights is 0.4 .
The probability he stops at the second set of traffic lights is 0.7 .

First set of traffic lights

Figure for Question 3 — CAIE IGCSE Mathematics Core

Question (a)

(a)

Complete the tree diagram.

Second set of traffic lights

Figure for Question (a) — CAIE IGCSE Mathematics Core
[ 2 ]

Question (b)

(b)

Work out the probability that Li does not stop at both sets of traffic lights.

[ 2 ]

Question 4

[Maximum number: 4]

Question (a)

(a)

A bag contains these cards.

One of these cards is picked at random.
Find the probability that the number on the card is greater than 3 .

[ 1 ]

Question (b)

(b)

A box contains 3 blue cards and 7 red cards.

Kim picks one card at random, notes its colour and then replaces it in the box.
She then picks another card at random.

[ 3 ]

Question (i)

(i)

Complete the tree diagram.

Figure for Question (i) — CAIE IGCSE Mathematics Core
[ 1 ]

Question (ii)

(ii)

Work out the probability that both of the cards Kim picks are blue.

[ 2 ]
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