What this quiz covers

Grade 12 Counting & Probability Quiz 1 draws its questions at random from 34 questions across these topics:

• The rules
• Venn, tables & trees
• Counting principle
• Counting & probability

Example questions

A sample of the questions you will practise in this quiz. Work them out yourself - the full solution appears after you answer each one.

1. For two events A and B, \(P(A)=0{,}4\), \(P(B)=0{,}5\) and \(P(A \text{ and } B)=0{,}2\). Determine \(P(A \text{ or } B)\).
2. Events A and B are mutually exclusive, with \(P(A)=0{,}25\) and \(P(B)=0{,}35\). Determine \(P(A \text{ or } B)\).
3. If \(P(A) = 0{,}72\), write down \(P(\text{not } A)\).
4. A and B are independent events with \(P(A)=0{,}3\) and \(P(B)=0{,}6\). Determine \(P(A \text{ and } B)\).
5. Given \(P(A)=0{,}6\), \(P(B)=0{,}3\) and \(P(A \text{ or } B)=0{,}72\). Are A and B independent?