There are other activities in which we have looked at finding probabilities for equally likely events. If you are not confident with these, have a go at activity 6013 before attempting this one.

The formula for finding probability is:

** Probability of an event happening = favourable outcomes ÷ total outcomes**

We need to look at a few things surrounding this.

**Bias:** The idea of equally likely outcomes is built around the fact that events have an equal chance of happening - we call this** fair **(a fair coin, a fair dice etc).

The opposite of this is **biased.**

A biased dice, for example, could be weighted so that one side has a better chance of coming down on a certain number.

**Random:** for probability to work, the event has to be random.

For example, if you had a box containing coloured balls and picked one * while looking at it, *this

**isn't random.**If you did it

**, this would be**

*without looking***random.**

**Expectation**: If I flipped a coin, the chance that I would get a head is 1/2. But what does this actually mean?

It means that I would expect to get one out of every two as a head, so if I flipped a coin 100 times, I * should *get 1/2 x 100 = 50 heads.

In reality, I might not, I might get 40 heads and 60 tails.

We will discuss this further in the activity on **experimental **probability.

Let's move on to some questions now.