1) balls in total. So the probability of getting all different colours would be:

.

2)

a) You require the last digit to be even. So the probability is .

b) You require the last digit to be odd. So the probability is .

c) You require the first digit to be a 0, 1, 2, 3. So the probability is .

d) There are different combinations of 4 numbers from the 8 given.

It has to be greater than 3000 and less than 4000. This means you know the first digit has to be a 3 and there are 7 digits left to choose from.

That means you will be finding the number of combinations of 3 digits from the 7 remaining.

There are combinations.

That means the probability of having a number less than 4000 and greater than 3000 is .