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Dominion General Discussion / Re: Math request: Nomad Camp
« on: January 20, 2013, 11:48:55 am »Quote
Problem 18.14.
A 52-card deck is thoroughly shuffled and you are dealt a hand of 13 cards.
(a) If you have one ace, what is the probability that you have a second ace?
(b) If you have the ace of spades, what is the probability that you have a second ace?
Remarkably, the two answers are different. This problem will test your counting ability!
Last two lines are straight from the textbook.
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I apologize in advance for the necro-post, but damnit, what's the answer to part (b)?
Part (a) is pretty straightforward. Take an ace out, and you have 51 cards, 3 of which are aces, so that's 1/17, and then the question is basically just what's the probability of an ace being in 12 of those , so 1/17 * 12/17.
I can't think of how it is different knowing that the ace you have is a particular ace, and the answer is not in the link, and I can't seem to google the same scenario...argh.