Theoretical probability

There are 67 NRICH Mathematical resources connected to Theoretical probability
What does random look like?
problem

What does random look like?

Age
11 to 14
Challenge level
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Engage in a little mathematical detective work to see if you can spot the fakes.
The car that passes
problem

The car that passes

Age
7 to 11
Challenge level
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What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?
In the Playground
problem

In the Playground

Age
5 to 11
Challenge level
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What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?
Probably...
problem

Probably...

Age
7 to 11
Challenge level
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You'll need to work in a group for this problem. The idea is to decide, as a group, whether you agree or disagree with each statement.
Winning the Lottery
problem

Winning the Lottery

Age
7 to 11
Challenge level
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Find out about the lottery that is played in a far-away land. What is the chance of winning?
Mathsland National Lottery
problem

Mathsland National Lottery

Age
14 to 16
Challenge level
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Can you work out the probability of winning the Mathsland National Lottery?
Same Number!
problem

Same Number!

Age
14 to 16
Challenge level
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If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?
Last one standing
problem

Last one standing

Age
14 to 16
Challenge level
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Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?
The Derren Brown coin flipping scam
problem

The Derren Brown coin flipping scam

Age
16 to 18
Challenge level
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Calculate probabilities associated with the Derren Brown coin scam in which he flipped 10 heads in a row.
Succession in Randomia
problem

Succession in Randomia

Age
16 to 18
Challenge level
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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?