this is actually an old problem solved by vos Savant, and I can't get to the bottom of it. It goes like this:

A shopkeeper says she has two new baby beagles to show you, but she doesn't know whether they're male, female, or a pair. You tell her that you want only a male, and she telephones the fellow who's giving them a bath. "Is at least one a male?" she asks him. "Yes!" she informs you with a smile. What is the probability that theotherone is a male?

Savant replied "one out of three".

I convinced myself pretty hard that the answer should be 2/3, so I'm looking for explanation of Savant's answer.

If at least one is a male, and you have 2 puppies, one yellow and one green collar, there are 3 possible combinations (I agree with her so far):

YM & GM

YM & GF

YF & GM

So, if you choose Y collar, there is 2/3 chances, that the other one is a male, and of course the same for G collar.

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## Nemesis

Hey guys,

this is actually an old problem solved by vos Savant, and I can't get to the bottom of it. It goes like this:

A shopkeeper says she has two new baby beagles to show you, but she doesn't know whether they're male, female, or a pair. You tell her that you want only a male, and she telephones the fellow who's giving them a bath. "Is at least one a male?" she asks him. "Yes!" she informs you with a smile. What is the probability that the other one is a male?Savant replied "one out of three".I convinced myself pretty hard that the answer should be 2/3, so I'm looking for explanation of Savant's answer.

If

at least one is a male, and you have 2 puppies, one yellow and one green collar, there are 3 possible combinations (I agree with her so far):YM & GM

YM & GF

YF & GM

So, if you choose Y collar, there is 2/3 chances, that the other one is a male, and of course the same for G collar.

Where did I get it wrong?

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