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The odds of getting a Texas Hold'em flush in a standard 52-card deck are approximately 0.1965, or about 1 in 508.
The odds of achieving a flush in Texas Hold'em are approximately 0.2, or 1 in 508.
The odds of flopping a royal flush in Texas Hold'em are 1 in 649,740.
The odds of hitting a runner runner flush in Texas Hold'em are approximately 4.2. This means that you have a 1 in 24 chance of getting the cards you need on the turn and river to complete a flush.
The odds of completing a flush after the flop in Texas Hold'em are approximately 34.97.