## Probability Exercise

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

 (a) A king?(b) The king of diamonds?(c) A club?(d) A five, six or a seven?(e) A red or a black card? 2. A die is thrown. What is the probability of throwing:

(a) A five?
(b) A number less than a 3?
(c) An even number?

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

(a) A Friday?
(b) A day beginning with a 't'?

4. In a town, three out of eight children own a bicycle. If there are 2000 children in the town, how many would you expect to own a bicycle?

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. If two one dollar coins are tossed together:

(a) List the sample space of the outcomes, e.g. {(T, T),...}
(b) What is the probability of getting:

(ii) At least one tail?

7. 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 4?

8. A die is rolled twice and the total is noted. Find the probability of getting:

(a) Two fours.
(b) A total of 7.
(c) A double.

9. A blindfolded person throws a dart at a dart board split into 6 sections as shown below 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 45°(a) What is the probability of scoring a 5?(b) What is the probability of scoring an even number?(c) If the person throws 20 darts, how many times would you expect a 4 to be scored? 