1. Experimental probability
S2.2 Core Plenary
Amy or Bala played three different games of chance. Each game was played 20 times.
Here is the record of how many times each person won.
If each of the games were played again, what would be the probability of Amy winning?
Amy says
Is this true or false?
None of the games is fair. Each player should have a 50% chance of winning!
Preamble
An activity in which pupils consider fairness and experimental probability The activity could begin with a general discussion as to what constitutes a fair game.
Possible content
Calculation of simple probabilities, appreciation of what ‘fairness’ means and overall uncertainty in outcomes.
Resources
None.
Solution/Notes
The experimental probabilities of Amy winning are:
However because of uncertainty due to the limited number of trials, the last game is probably the only unfair game.