Mathematics - Of Poker
As he bagged his winnings, he realized poker wasn't a game of cards played with people. It was a game of people who didn't realize they were just variables in a very long equation.
In his mind, a decision tree sprouted. He had an overcard and a royal flush draw. He calculated his —the mathematical share of the pot he owned based on the probability of his hand winning by the river. With 12 "outs" (9 spades for the flush, 3 non-spade Queens for the straight), he had roughly a 26% chance of hitting the best hand on the final card. Miller had shoved all-in for $400 into a $600 pot. Mathematics of Poker
He sat in Seat 4, his eyes fixed not on his opponents’ faces, but on the geometry of the pot. As he bagged his winnings, he realized poker
But then he factored in . He looked at Miller’s betting patterns over the last four hours. Miller was "over-bluffing" on wet boards. If Elias factored in the 15% chance that his Ace-high was already the best hand, his total win probability climbed to 34%. "I call," Elias said, sliding the chips forward. He had an overcard and a royal flush draw
Elias didn't think about whether Miller was "bluffing." He thought about . He had to call $400 to win a total pot of $1,400.$400 / $1,400 = 28.5%.