guessing cards

[rufus]

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There are 169 two-card combinations ignoring suits. Lets also ignore the two cards you hold for simplicity's sake.

So the odds of correctly guessing a random hand two consecutive times would be 169 * 169, or 1 in 28561.

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Actually, pairs are less likely, so two consecutive correct guesses are a bit more likely than that...

Assuming that that you guess cards that are not in your holding and don't guess a pair the chance is 16 in 50 choose 2 guessing two back to back works out to 256 in 1500625, roughly 1 in 5882.