Identical discs are flipped in the air. You win if all of the faces
show the same colour. Can you calculate the probability of winning
with n discs?
Six balls of various colours are randomly shaken into a trianglular
arrangement. What is the probability of having at least one red in
7 balls are shaken in a container. You win if the two blue balls
touch. What is the probability of winning?
Is this a fair game? How many ways are there of creating a fair
game by adding odd and even numbers?
So which is the better bet? Both games cost £1 to play.
Getting two heads and two tails for £3 or £2 for every
six when three dice are rolled.
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 ?
Heads or Tails - the prize doubles until you win it. How much would
you pay to play?
Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.
Hannah sent in a very succinct solution to this problem which uses the Fibonacci sequence. What else can you find out about this sequence of numbers?
Go to last month's problems to see more solutions.
This article, for students and teachers, is mainly about
probability, the mathematical way of looking at random chance and
is a shorter version of Taking Chances Extended.
The first of two articles for teachers explaining how to include talk in maths presentations.