Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

TopicSkillDifficulty

12 questions

SA-9709-P5-PR-0013 marksL1 FoundationCalculatorIndependence

A

and

B

are independent, with

P(A)=0.3

and

P(B)=0.6

. Find

P(A\cap B)

and

P(A\cup B)

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR-0021 markL1 FoundationCalculatorIndependence

P(A)=0.4

P(B)=0.25

and

P(A\cap B)=0.1

. Are

A

and

B

independent?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR3-0012 marksL1 FoundationCalculatorIndependence

A

and

B

are independent events with

P(A)=0.2

and

P(B)=0.5

. Find

P(A\cap B)

and

P(A\cup B)

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR3-0021 markL1 FoundationCalculatorIndependence

A

and

B

are independent, with

P(A)=0.3

and

P(A\cap B)=0.12

. Find

P(B)

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR3-0031 markL1 FoundationCalculatorMutually exclusive

A

and

B

are mutually exclusive, with

P(A)=0.25

and

P(B)=0.4

. Find

P(A\cup B)

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR3-0081 markL1 FoundationCalculatorMutually exclusive

A

and

B

are mutually exclusive,

P(A)=0.3

and

P(A\cup B)=0.75

. Find

P(B)

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR-Q021 markL1 FoundationCalculatorIndependence

A

and

B

are independent exactly when

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR-0101 markL2 StandardCalculatorMutually exclusive

Events

A

and

B

have

P(A)>0

and

P(B)>0

, and are mutually exclusive. Which is true?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR3-0051 markL2 StandardCalculatorMutually exclusive

A fair die is thrown.

A

: "the score is even";

B

: "the score is

5

". Which is true?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR3-0061 markL2 StandardCalculatorIndependence

A fair die is thrown.

A

: "the score is even";

B

: "the score is a multiple of

3

". Are

A

and

B

independent?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR3-0072 marksL2 StandardCalculatorIndependence

Three machines break down independently with probabilities

0.1

0.2

and

0.05

on a given day. Find the probability that at least one breaks down.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-PR3-0043 marksL3 ExamCalculatorIndependence

A

and

B

are independent,

P(A)=0.4

and

P(A\cup B)=0.7

. Find

P(B)

Salam Academy Original Practice · Proposed mark scheme