Equally likely outcomes

There are 16 NRICH Mathematical resources connected to Equally likely outcomes
Which spinners?
problem
Favourite

Which spinners?

Age
14 to 18
Challenge level
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Can you work out which spinners were used to generate the frequency charts?
Teams
problem
Favourite

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.
Flippin' discs
problem
Favourite

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?
Two's company
problem
Favourite

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
Favourite

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?
Connect Three
problem
Favourite

Connect three

Age
11 to 16
Challenge level
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In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
Placeholder: several colourful numbers
problem

Boy or girl?

Age
14 to 16
Challenge level
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Will the witch make a profit or loss?
Dicey Dice
problem

Dicey dice

Age
16 to 18
Challenge level
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Invent a set of three dice where each one is better than one of the others?
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?