1. Use the following frequency table for the sales of types of cars, to calculate the relative frequencies and complete the table:

Types of car
Frequency
Relative frequency
Fraction
Decimal
Percentage
Toyota
30
   
Honda
16
     
Mitsubishi
24
     
Holden
10
     
Total
80
1
1
100%

 

2. If we take a normal pack of 52 cards, what is the probability of drawing:

 

(a) A queen?
(b) The jack of diamonds?
(c) A spade?
(d) A five, six or a seven?
(e) A red card?

3. A die is thrown. What is the probability of throwing:

(a) A six?
(b) A number less than a 4?
(c) An odd number?

4. Jane's birthday is on 22 November. What is the probability that her birthday will be on:

(a) A Thursday?
(b) A day beginning with a 's'?

5. A bag contains 12 white balls and 6 red balls. A student takes a ball from the bag.

What is the probability that the ball is:
(a) White?
(b) Red?
(c) Green?

6. A die is rolled 60 times. How many times would you expect to throw:

(a) a 5 or a 6?
(b) an even number?
(c) numbers less than 6?

7. A blindfolded person throws a dart at a dart board split into 8 equal parts and marked with numbers from 1 to 6 as in the diagram. All darts hit the board.

 

The circle shown has angles of 90° and 45o
(a) What is the probability of scoring a 1?
(b) What is the probability of scoring an odd number?
(c) If the person throws 100 darts, how many times would you expect a 4 to be scored?