Initial Diagnostic Audit - Unit D2: Probability of Two or More Events

Do NOT use a calculator for any questions in the audit unless specifically told otherwise
Section D2.1 - Outcome of Two Events
1. Two dice are rolled together and the scores added.
In how many ways can the total score be

(a) 12?

(b) 3?

(c) 7?

(d) an even number?

2. A fair coin is tossed three times. List all the possibilities for obtaining at least two HEADS.

1st Throw
2nd Throw
3rd Throw
    

Section D2.2 - Probability of Two Events
3. When two fair coins are tossed, what is the probability of obtaining

(a) two TAILS?  
 

(b) at least one HEAD?  
 

4. Two fair dice are thrown together. What is the probability of obtaining a total of

(a) 2?  
 

(b) 5?  
 

5. The diagram shows two spinners.

When both spinners are spun at the same time, what is the probability of obtaining 3 and A?  
 

Section D2.3 - Use of Tree Diagrams
6. A fair dice is thrown three times. It is noted if a six is thrown.
The tree diagram below illustrates this experiment, with some of the probabilities given on the branches.

What is the probability of throwing

(a) 3 sixes?  
 

(b) exactly 1 six?  
 

(c) no sixes?  
 

(d) exactly 2 sixes?  
 

(e) 2 or more sixes?  
 


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Produced by Russell Geach for CIMT - January 2013