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Probability

 
 
Reply Tue 31 Mar, 2015 01:18 am
A deck of 52 cards labeled 1 to 52 is shuffled at random. You do the follow steps:

1) Reveal the first card on the top of the deck and,

2) Shout the number '1'

Then you repeat the steps above, with the number shouted increases by 1 each time, until all cards are revealed.

What is the probability of at least having one card with a number label that matches the number shouted?

What if there is a deck with infinte cards instead of 52 cards?
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Type: Question • Score: 2 • Views: 711 • Replies: 2
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Kolyo
 
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Reply Tue 31 Mar, 2015 07:04 am
@thegiant,

Hint: it will simplify the problem conceptually if you focus on finding the probability that NO label matches the number shouted.
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markr
 
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Reply Tue 31 Mar, 2015 12:25 pm
@thegiant,
Look up "Derangement" at wikipedia and go the "Counting derangements" section.
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