List

Probability - Stage 3

Flippin' discs
problem
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Flippin' discs

Age
11 to 14
Challenge level
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Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
Odds and Evens
problem
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Odds and evens

Age
11 to 14
Challenge level
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Are these games fair? How can you tell?
Two's company
problem
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Two's company

Age
11 to 14
Challenge level
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Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
Cosy corner
problem
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Cosy corner

Age
11 to 14
Challenge level
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Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
Interactive Spinners
problem
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Interactive spinners

Age
11 to 14
Challenge level
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This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
Sociable Cards
problem
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Sociable cards

Age
11 to 14
Challenge level
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Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?
Do you feel lucky?
problem
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Do you feel lucky?

Age
11 to 14
Challenge level
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Some people offer advice on how to win at games of chance, or how to influence probability in your favour. Can you decide whether advice is good or not?
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.
Non-Transitive Dice
problem
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Non-transitive dice

Age
11 to 14
Challenge level
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Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?
Statistical shorts
problem
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Statistical shorts

Age
11 to 16
Challenge level
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Can you decide whether these short statistical statements are always, sometimes or never true?
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?