7 balls are shaken in a container. You win if the two blue balls
touch. What is the probability of winning?
You and I play a game involving successive throws of a fair coin.
Suppose I pick HH and you pick TH. The coin is thrown repeatedly
until we see either two heads in a row (I win) or a tail followed
by. . . .
Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?
If everyone in your class picked a number from 1 to 225, do you
think any two people would pick the same number?
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?
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 ?
In how many different ways can I colour the five edges of a
pentagon red, blue and green so that no two adjacent edges are the
Can you work out the probability of winning the Mathsland National
Lottery? Try our simulator to test out your ideas.
Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?
You have two bags, four red balls and four white balls. You must
put all the balls in the bags although you are allowed to have one
bag empty. How should you distribute the balls between the two. . . .
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?