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Probability of FA cup draws (serious question)

Don't think that I'm just messing around...I'm not trying to gamble or anything :smile:

I have been thinking about chances in the FA Cup. In the third round, there are 20 premiership teams and 44 non-premier teams, making a total of 64. What are the chances that no premiership team gets drawn against another premiership team?
Original post by bbrain
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Something along the lines of:

Spoiler




= 0.0120675... or 1 in 83 ish.

I reckon.
(edited 12 years ago)

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