Tree diagrams

problem
Favourite

Rain or Shine

Age

16 to 18

Challenge level

Predict future weather using the probability that tomorrow is wet given today is wet and the probability that tomorrow is wet given that today is dry.
problem

Genetics

Age

14 to 16

Challenge level

A problem about genetics and the transmission of disease.
problem

Peas in a Pod

Age

14 to 16

Challenge level

What is the chance this pea plant will look like its parents?
problem

Squash

Age

16 to 18

Challenge level

If the score is 8-8 do I have more chance of winning if the winner is the first to reach 9 points or the first to reach 10 points?
problem

Master Minding

Age

11 to 14

Challenge level

Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?
problem

Odd Dice

Age

14 to 16

Challenge level

These strange dice are rolled. What is the probability that the sum obtained is an odd number?
problem

Winning Marble

Age

14 to 16

Challenge level

How can this prisoner escape?
problem

Dropouts

Age

14 to 16

Challenge level

What percentage of students who graduate have never been to France?
problem

Do You Brush Your Teeth Every Day?

Age

14 to 18

Challenge level

How can we find out answers to questions like this if people often lie?
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?