Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Are these domino games fair? Can you explain why or why not?
Terry and Ali are playing a game with three balls. Is it fair that
Terry wins when the middle ball is red?
Use the interactivity or play this dice game yourself. How could
you make it fair?
Have a go at this game which involves throwing two dice and adding
their totals. Where should you place your counters to be more
likely to win?
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.
How do scores on dice and factors of polynomials relate to each
Given the mean and standard deviation of a set of marks, what is
the greatest number of candidates who could have scored 100%?
Particularly good explanations to this problem were sent from Danny, Shubha and Abhijit.
Katie scanned in her solution to this problem. Perhaps you might like to do the same for this month's problems.
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?
Here you see combinations of Fibonacci numbers giving Pythagorean triples.
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
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.
This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance.
Working with recursion. What is going on how does each iteration
feen into the next? All within a geometric setting.