Theoretical probability

There are 68 NRICH Mathematical resources connected to Theoretical probability
Which spinners?
problem
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Which spinners?

Age
14 to 18
Challenge level
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Can you work out which spinners were used to generate the frequency charts?
Who's the winner?
problem
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Who's the winner?

Age
14 to 16
Challenge level
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When two closely matched teams play each other, what is the most likely result?
Rain or Shine
problem
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Rain or shine

Age
16 to 18
Challenge level
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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.
The Birthday Bet
problem
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The birthday bet

Age
14 to 16
Challenge level
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The next ten people coming into a store will be asked their birthday. If the prize is £20, would you bet £1 that two of these ten people will have the same birthday ?
The car that passes
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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?

Knock-out
problem
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Knock-out

Age
16 to 18
Challenge level
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Before a knockout tournament with 2^n players I pick two players. What is the probability that they have to play against each other at some point in the tournament?
What does random look like?
problem
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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.
Same or Different?
problem
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Same or different?

Age
7 to 11
Challenge level
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Anna and Becky put one purple cube and two yellow cubes into a bag to play a game. Is the game fair? Explain your answer.
At least one...
problem
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At least one...

Age
11 to 14
Challenge level
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Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?

It's a Tie
problem
Favourite

It's a tie

Age
7 to 11
Challenge level
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Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?