Theoretical probability

There are 68 NRICH Mathematical resources connected to Theoretical probability
Scratch Cards
problem

Scratch cards

Age
14 to 16
Challenge level
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To win on a scratch card you have to uncover three numbers that add up to more than fifteen. What is the probability of winning a prize?
Thank your Lucky Stars
problem

Thank your lucky stars

Age
14 to 16
Challenge level
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A counter is placed in the bottom right hand corner of a grid. You toss a coin and move the star according to the following rules: ... What is the probability that you end up in the top left-hand corner of the grid?
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?
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.
Bipin's Choice
problem

Bipin's choice

Age
7 to 11
Challenge level
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Bipin is in a game show and he has picked a red ball out of 10 balls. He wins a large sum of money, but can you use the information to decided what he should do next?
Trick or Treat
problem

Trick or treat

Age
7 to 11
Challenge level
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Mrs. Smith had emptied packets of chocolate-covered mice, plastic frogs and gummi-worms into a cauldron for treats. What treat is Trixie most likely to pick out?
A Bit of a Dicey problem
problem

A bit of a dicey problem

Age
7 to 11
Challenge level
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When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?
Bet you a Million
problem

Bet you a million

Age
14 to 16
Challenge level
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Heads or Tails - the prize doubles until you win it. How much would you pay to play?
Squash
problem

Squash

Age
16 to 18
Challenge level
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If the score is 8-8 do I have more chance of winning if the winner is the first to reach 9 points or the first to reach 10 points?
Taking Chances
problem

Taking chances

Age
11 to 14
Challenge level
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This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance and is a shorter version of Taking Chances Extended.