Was playing a silly game of Texas Holdem when every player that was still in got a straight:
One player was out, the others all got straight
And I was wondering what would be the chance of this occurring? Cheers.
2026-02-22 21:53:24.1771797204
What is the probability of 4 players all getting a straight in a game of 5 card poker
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In Texas Hold'em, I think there are five common cards, and each player has two more cards. Each player thus has seven cards, from which to choose five that makes his hand.
I ran this for a million deals, and all four players could form a straight in 3724, or once every 268 deals. I expect 3724 might vary by $\pm120$ by chance.
The chance that the common cards form a straight by themselves is about 1 in 282, or 3546 in a million.
So it's usually because the common cards are a straight.