Theoretical probability

Which of these games would you play to give yourself the best possible chance of winning a prize?

Here are two games you can play. Which offers the better chance of winning?

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

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

Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

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

Can you work out the probability of winning the Mathsland National Lottery?

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

It is believed that weaker snooker players have a better chance of winning matches over eleven frames (i.e. first to win 6 frames) than they do over fifteen frames. Is this true?

Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.