Probability

problem
Favourite

Teams

Age

16 to 18

Challenge level

Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.
problem

How many balls?

Age

16 to 18

Challenge level

A bag contains red and blue balls. You are told the probabilities of drawing certain combinations of balls. Find how many red and how many blue balls there are in the bag.
problem
Favourite

Very old man

Age

16 to 18

Challenge level

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

Stats statements

Age

16 to 18

Challenge level

Are these statistical statements sometimes, always or never true? Or it is impossible to say?
problem

The wrong stats

Age

16 to 18

Challenge level

Why MUST these statistical statements probably be at least a little bit wrong?
problem

Succession in Randomia

Age

16 to 18

Challenge level

By tossing a coin one of three princes is chosen to be the next King of Randomia. Does each prince have an equal chance of taking the throne?
problem

Dicey dice

Age

16 to 18

Challenge level

Invent a set of three dice where each one is better than one of the others?
problem

Discussing risk and reward

Age

16 to 18

Challenge level

10 starting points for risk vs reward
problem

Dicey decisions

Age

16 to 18

Challenge level

Can you devise a fair scoring system when dice land edge-up or corner-up?
problem

Drug testing

Age

16 to 18

Challenge level

How do different drug-testing regimes affect the risks and payoffs for an athlete who chooses to take drugs?