User:Editor794/sandbox

Alice holds 5♣ 4♣. The board on the turn is Q♣ J♣ 9♦ 7♥. Her hand will almost certainly not win at showdown unless one of the 9 remaining clubs comes on the river to give her a flush. Excluding her two hole cards and the four community cards, there are 46 remaining cards to draw from. This gives a probability of 9/46 (19.6%), or equivalently odds of 4.1:1 to hit her flush. Her opponent bets $10 into a pot of $40. To call, Alice needs to put $10 into a pot of $50, giving her pot odds of 5:1. The odds of her hitting her flush are better than her pot odds, so she should call.

It is important to note that using pot odds makes assumptions of your opponents hand. When calculating the odds of Alice drawing her flush, it was assumed that her opponent did not hold any of the remaining clubs. It was also assumed that her opponent did not have two-pair or a set. In these cases, her opponent could have been drawing on a higher flush, a full house, or four of a kind, all of which would win even if Alice made her flush. This is where considering the range of an opponent's hands becomes important. If, for example, Alice's opponent bet large and multiple times preflop, it would be more likely that they have one of the better drawing hands by the time the turn came.