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Sunday Afternoon Maths XXXIII

 Posted on 2014-11-02 

Fair dice

Timothy and Urban are playing a game with two six-sided dice. The dice are unusual: Rather than bearing a number, each face is painted either red or blue.
The two take turns throwing the dice. Timothy wins if the two top faces are the same color, and Urban wins if they're different. Their chances of winning are equal.
The first die has 5 red faces and 1 blue face. What are the colours on the second die?

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Half digits

Source: Maths Jam
Can you use each of the digits 1 to 9 to make a fraction which is equal to a half?

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Tags: numbers

Pizza

Twelve friends want to share a pizza. One of the friends is very fussy and will not eat the centre of the pizza.
Is it possible to split a (circular) pizza into twelve identical pieces such that there is at least one piece which does not touch the centre?

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If you enjoyed these puzzles, check out Sunday Afternoon Maths LXVII,
puzzles about remainders, or a random puzzle.

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