Probability

There are 130 NRICH Mathematical resources connected to Probability
The wrong stats
problem

The wrong stats

Age
16 to 18
Challenge level
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Why MUST these statistical statements probably be at least a little bit wrong?
Gambling at Monte Carlo
problem

Gambling at monte carlo

Age
14 to 16
Challenge level
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A man went to Monte Carlo to try and make his fortune. Is his strategy a winning one?
396
problem

396

Age
14 to 16
Challenge level
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The four digits 5, 6, 7 and 8 are put at random in the spaces of the number : 3 _ 1 _ 4 _ 0 _ 9 2 Calculate the probability that the answer will be a multiple of 396.
Succession in Randomia
problem

Succession in randomia

Age
16 to 18
Challenge level
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By tossing a coin one of three princes is chosen to be the next King of Randomia. Does each prince have an equal chance of taking the throne?
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?
Marbles and Bags
problem

Marbles and bags

Age
14 to 16
Challenge level
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Two bags contain different numbers of red and blue marbles. A marble is removed from one of the bags. The marble is blue. What is the probability that it was removed from bag A?
How Many Balls?
problem

How many balls?

Age
16 to 18
Challenge level
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A bag contains red and blue balls. You are told the probabilities of drawing certain combinations of balls. Find how many red and how many blue balls there are in the bag.
Heavy hydrocarbons
problem

Heavy hydrocarbons

Age
14 to 18
Challenge level
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Explore the distribution of molecular masses for various hydrocarbons
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.
Coin Tossing Games
problem

Coin tossing games

Age
14 to 16
Challenge level
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You and I play a game involving successive throws of a fair coin. Suppose I pick HH and you pick TH. The coin is thrown repeatedly until we see either two heads in a row (I win) or a tail followed by a head (you win). What is the probability that you win?