perplexus.info :: Probability : The First Lady

The First Lady (Posted on 2024-01-30)

A standard deck of 52 cards contains, inter alia, four Queens.
After a perfect shuffle, one turns cards from the top one after another, until the first Queen appears.

Please provide your justified estimate at what step will the 1st Queen appear.

No Solution Yet Submitted by Ady TZIDON

Rating: 5.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Perfect Shuffle

| Comment 6 of 12 |

(In reply to Perfect Shuffle by Steve Herman)

For the assumption that "perfect shuffle" means a perfect randomization,

x=combinator(52,4,'c');

a=mean(x(:,1))

confirms 10.6 is the correct mean drawn from the 270725 possibilities of where the four queens reside.

Posted by Charlie on 2024-01-30 10:01:11

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