Theoretical probability

There are 68 NRICH Mathematical resources connected to Theoretical probability
Nine or Ten?
problem

Nine or ten?

Age
11 to 14
Challenge level
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Is a score of 9 more likely than a score of 10 when you roll three dice?
Peas in a pod
problem

Peas in a pod

Age
14 to 16
Challenge level
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What is the chance this pea plant will look like its parents?
Distribution Differences
problem

Distribution differences

Age
14 to 16
Challenge level
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How could you compare different situation where something random happens ? What sort of things might be the same ? What might be different ?
Genetics
problem

Genetics

Age
14 to 16
Challenge level
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A problem about genetics and the transmission of disease.
Magic Bag
problem

Magic bag

Age
16 to 18
Challenge level
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A weekly challenge concerning combinatorical probability.
Voting Paradox
problem

Voting paradox

Age
14 to 18
Challenge level
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Some relationships are transitive, such as `if A>B and B>C then it follows that A>C', but some are not. In a voting system, if A beats B and B beats C should we expect A to beat C?
Can't find a coin?
problem

Can't find a coin?

Age
11 to 14
Challenge level
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Can you generate a set of random results? Can you fool the random simulator?
Gambling at Monte Carlo
problem

Gambling at monte carlo

Age
14 to 16
Challenge level
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A man went to Monte Carlo to try and make his fortune. Is his strategy a winning one?
Tricky Track
problem

Tricky track

Age
7 to 11
Challenge level
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In this game you throw two dice and find their total, then move the appropriate counter to the right. Which counter reaches the purple box first?