Theoretical probability

Can you work out which spinners were used to generate the frequency charts?

When two closely matched teams play each other, what is the most likely result?

Given probabilities of taking paths in a graph from each node, use matrix multiplication to find the probability of going from one vertex to another in 2 stages, or 3, or 4 or even 100.

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

In four years 2001 to 2004 Arsenal have been drawn against Chelsea in the FA cup and have beaten Chelsea every time. What was the probability of this? Lots of fractions in the calculations!

Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?

If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

Are these games fair? How can you tell?