Probability

There are 130 NRICH Mathematical resources connected to Probability
Snooker Frames
problem
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Snooker frames

Age
16 to 18
Challenge level
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It is believed that weaker snooker players have a better chance of winning matches over eleven frames (i.e. first to win 6 frames) than they do over fifteen frames. Is this true?
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?
Time to evolve 2
problem
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Time to evolve 2

Age
16 to 18
Challenge level
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How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
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?
Teams
problem
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Teams

Age
16 to 18
Challenge level
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Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.
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.
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?
Mathsland National Lottery
problem
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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?
The Better Choice
problem
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The better choice

Age
14 to 16
Challenge level
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Here are two games you can play. Which offers the better chance of winning?
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 ?