Invent a set of three dice where each one is better than one of the others?
Explore these X-dice with numbers other than 1 to 6 on their faces.
Which one is best?
After transferring balls back and forth between two bags the
probability of selecting a green ball from bag 2 is 3/5. How many
green balls were in bag 2 at the outset?
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. . . .
Newspapers said that eating a bacon sandwich every day raises the risk of bowel cancer by 20%. Should you be concerned?
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? Try our simulator to test out your ideas.
"Statins cut the risks of heart attacks and strokes by 40%"
Should the Professor take statins? Can you help him decide?
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 the score is 8-8 do I have more chance of winning if the winner
is the first to reach 9 points or the first to reach 10 points?
Use cunning to work out a strategy to win this game.
Predict future weather using the probability that tomorrow is wet
given today is wet and the probability that tomorrow is wet given
that today is dry.
By tossing a coin one of three princes is chosen to be the next
King of Randomia. Does each prince have an equal chance of taking
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?
How do different drug-testing regimes affect the risks and payoffs for an athlete who chooses to take drugs?
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. . . .
A player has probability 0.4 of winning a single game. What is his
probability of winning a 'best of 15 games' tournament?
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?
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