Next suppose I pick 2 of the 6 cards at […]
This month we have a link to an Advent Calendar on the NRICH website which gives you a mathematical game when you click on any day in December up to Christmas Eve.
Some of the games you can play on the computer but for many of them do not need a […]
Each lottery ticket has 6 numbers and you win a top prize if your 6 numbers match the 6 numbers chosen that […]
Najwa and Zuki play a game.
They put two red and two blue ribbons in a box. They pull out two ribbons at the same time without looking at the colours.
Najwa wins if both ribbons are the same colour.
Zuki wins if the two ribbons are different colours.
Is this a fair […]
In Game A you pick out two balls at random from a bag containing balls numbered 2, 3, 4, 5 and 6.. If the total is even you win. If it is odd you lose. Are you equally likely to win or to lose (a fair game)?
A container holds 4 yellow balls, 2 blue balls and a red ball. The balls are identical in all ways except colour. When you shake the container the balls settle into a hexagonal pattern as shown in the diagram.
You win if two blue balls touch.
How many different ways can […]
A staircase has 12 steps. You can go down the steps one at a time or two at time.
You could go down 1 step, then 1 step, then 2 steps, then 2, 2, 1, 1, 1, 1 as in the picture.
In how many different ways […]
How many ways can you do this so that all the rows columns and diagonals have an even number of red squares?
(b) Are there any additional solutions if […]