Theoretical probability

Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

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?

The next ten people coming into a store will be asked their birthday. If the prize is £20, would you bet £1 that two of these ten people will have the same birthday ?

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