Solve the Mystery: Another 52 Cards

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SUMMARY

The discussion focuses on calculating probabilities related to drawing 7 cards from a standard 52-card deck. Specifically, it addresses how to determine the number of ways to pull 7 cards from a single suit and the number of combinations that form a straight. The calculations involve using the probabilities of drawing all hearts and the likelihood of forming a straight, with the latter being calculated as 7 times the probability of a straight starting from 2, without allowing for wrap-around scenarios.

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Shigal
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Okay there is a regular 52 card deck. The first part is how many ways to pull 7 cards out; that I figured out. What I am running into is out of those 7 how many are from a single suit, and another is how many contain a straight.
 
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Have you tried reading how to get a flush or a straight in poker (5 card draw)? I believe there's quite a few articles on that online and you can use the same logic with your 7 cards.
 
Shigal said:
out of those 7 how many are from a single suit

This is four times the probability that all 7 are hearts. This should be easy to calculate.

Shigal said:
how many contain a straight

This is 7 times the probability of a straight starting from 2, assuming you aren't allowed to 'wrap around'.
 

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