## Probability Exercise

1. 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 heart?
d. A five, six or a seven?
e. A red or a black card? Playing Cards For those who don't know cards there are 52 cards arranged in 4 suits of 13 cards: hearts and diamonds which are red and clubs and spades which a black. Each suit has 13 cards from an ace to a ten followed by a jack, queen and a king.

 2. A dart is thrown to the dart board shown. The numbers are from 1 to 8. What is the probability of throwing: a. A five?b. A number less than a 3?c. An even number?

3. a. Copy and complete in the following frequency table for the results of a survey of car colours for 200 cars:

 Car colour Number of cars Frequency (f) Relative frequency (fraction) Relative frequency (decimal) Relative frequency (percentage) white 34 red 62 black 28 green 46 other 30 total 200 1 1.00 100%

b. Based on the table above how many of the next 50 cars would you expect to be white?

4. Jane's birthday is on 30 March. What is the probability that her birthday will be on:

a. A Wednesday?
b. A day beginning with a 't'?

5. 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?

6. 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?

7. 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: