CAIE IGCSE Mathematics Extended E8.4 Conditional Probability Topic Practice

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Covered syllabus points

E8.4.1 Calculate conditional probability using Venn diagrams, tree diagrams

Question 1

[Maximum number: 2]
Dice A

Dice A

Dice B

Dice B

The diagram shows two fair dice.
Dice A is numbered 1,2,2,2,3,6.
Dice B is numbered 2,3,3,4,4,4.

Dice A and Dice B are each rolled once.

Find the probability that when the two numbers they land on have a total of 6 , both numbers are 3.

Question 2

[Maximum number: 2]
First number

First number

Mahir picks one number at random from the numbers 5, 10 and 15.
He then picks one number at random from the numbers 4,5 and 6 .
He adds the two numbers.
The sample space diagram shows some of the possible outcomes.

Given that the total of the two numbers is odd, find the probability that one of the numbers added is 15 .

Question 3

[Maximum number: 2]

Angela picks a number at random from the numbers 1, 2 and 3.
She then picks a number at random from the numbers 4,5 and 6 .
She adds the two numbers to find the total.

Given that the total is odd, find the probability that one of the numbers Angela picks is 3 .

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