Counting One-Pair Hands in a Five-Card Deck
Exactly one pair accounts for 1,098,240 of the 2,598,960 five-card hands. The count excludes every stronger category.
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12 posts tagged "poker math".
Exactly one pair accounts for 1,098,240 of the 2,598,960 five-card hands. The count excludes every stronger category.
About 17.2 percent of flops contain a pair or three of a kind. The count uses the full deck and nothing more.
Same-color hole cards are about 49 percent of two-card hands. The count is small, and it is not the suited count.
In a five-card hand, a royal flush is 4 combinations out of 2,598,960. The count, and what it does not predict.
Five sentences people repeat as if they were math. Each one fails a count you can do without a table.
Expected value is a weighted average of outcomes. One sentence of definition, then the limits of the idea.
A shuffled deck does not owe you a heart. What memory can mean after cards are removed, and what it cannot mean.
Monotone flops are uncommon, two-tone flops are the plurality, and rainbow flops sit in between. The three counts, shown.
A pocket pair flops a set or better about 11.8 percent of the time. The count, shown in full, with no betting advice.
Probability counts chances. Odds compare failures with successes. A short, careful guide to both, with deck examples.
Pot odds compare the price of a call with the size of the pot. Learn the formula and two worked examples with real numbers.
What outs are, how to count them, and how the rule of 4 and 2 gives a fast estimate that you can check against exact odds.