This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.
Scroll down to see the complete collection, or explore our subcollections on Perimeter and Area in two dimensions, and Surface Area and Volume in three dimensions.
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problem
Chances are
Which of these games would you play to give yourself the best possible chance of winning a prize?
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problem
The better choice
Here are two games you can play. Which offers the better chance of winning?
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problem
Last one standing
Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?
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problem
Who's the winner?
When two closely matched teams play each other, what is the most likely result?
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problem
In a box
Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?
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problem
Same number!
If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?
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problem
Odds and evens made fair
In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.
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problem
Mathsland national lottery
Can you work out the probability of winning the Mathsland National Lottery?
Image
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You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.