Experimental probability

problem
Favourite

Mathsland National Lottery

Age

14 to 16

Challenge level

Can you work out the probability of winning the Mathsland National Lottery?
problem
Favourite

Odds and Evens Made Fair

Age

14 to 16

Challenge level

In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.
problem
Favourite

Which Spinners?

Age

14 to 18

Challenge level

Can you work out which spinners were used to generate the frequency charts?
problem
Favourite

Very Old Man

Age

16 to 18

Challenge level

Is the age of this very old man statistically believable?
problem
Favourite

Time to Evolve 2

Age

16 to 18

Challenge level

How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
problem
Favourite

Probably a Code?

Age

16 to 18

Challenge level

Is the regularity shown in this encoded message noise or structure?
problem

Coin Tossing Games

Age

14 to 16

Challenge level

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 a head (you win). What is the probability that you win?
problem

Win or Lose?

Age

14 to 16

Challenge level

A gambler bets half the money in his pocket on the toss of a coin, winning an equal amount for a head and losing his money if the result is a tail. After 2n plays he has won exactly n times. Has he more money than he started with?
problem

Taking Chances

Age

11 to 14

Challenge level

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.
problem

Can't Find a Coin?

Age

11 to 14

Challenge level

Can you generate a set of random results? Can you fool the random simulator?