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October 16th, 2011, 05:09 PM   #1
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Probability with Deck of Cards

I was playing a card came last night that involves a group of people picking from a deck of cards spread out across the table. After a card is picked, it is not replaced. The very last card picked in the game was a King, and the game is actually called King's, so that led to a discussion/argument over what the chances of that happening are. The question is, what are the chances that the last card picked from a deck of cards is a King.

I believe I have the correct answer now, but I was very curious to post this on the forum and just see what people say and how they reason through it. I'm looking forward to hearing back! Thank you!
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October 16th, 2011, 10:05 PM   #2
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Re: Probability with Deck of Cards

Hello, flyingL123!

You are probably making the problem harder than it is.


Quote:
I was playing a card came last night that involves a group of people picking from a deck of cards
spread out across the table.[color=beige] .[/color]After a card is picked, it is not replaced.
The very last card picked in the game was a King, and the game is actually called King's,
so that led to a discussion/argument over what the chances of that happening are.
The question is: what are the chances that the last card picked from a deck of cards is a King?




You are probably wondering "How do we know which card is the last card?"
[color=beige]. . [/color]It doesn't matter!

Spread the entire deck face down on the table.
Point to any card and ask "What is the probabiity that it is a King?"
[color=beige]. . [/color]The answer is the same: one-thirteenth.

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