May 2010
7 posts
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Tuesday Teaser #17
A brilliant, although completely useless, counter-intuitive probability puzzle this week.
If I have exactly two children and at least one of them is a boy, what is the probability that both of them are boys?
If I have exactly two children and at least one of them is a boy born on a Tuesday, what is the probability that both of them are boys?
Are these two probabilities the same or does the...
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Answer: Tuesday Teaser #16
Tricky one to explain this one, you may need a pen and paper to cumulate the totals. So we start with two 8-litre jugs, let’s call them A and B, and an empty 3-litre jug, let’s call that C.
3 litres A => C => Pool 1
3 litres A => C
2 litres A => Pool 2
3 litres C => A
3 litres B => C => A
3 litres B => C
2 litres C => A
1 litre C => Pool 3
2...
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Tuesday Teaser #16
A Die Hard with a Vengeance style puzzle this week, but significantly harder (sorry @aliholli)!
Suppose you have two 8-litre jugs full of water and an empty 3-litre jug. Your aim is to transfer exactly four litres of water into four separate pools. Assume that:
The only source of water is the 16 litres in the two 8-litre jugs;
Once water has been added to any of the pools, it cannot be...
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