# What is the probability of drawing a flush in a 5 card hand of poker

For example, there are 4 different ways to draw a Royal flush (one for each suit), so the probability is.
The exact number of possible five-card Poker hands in a deck is Possible Ways Hand can be Made, Chance of Being Dealt in Original 5 Cards . The odds against making a flush by drawing one card of the same suit are.
I know all of the hands but need help figuring out the probability of each. No pairs [ 5 different face values, not in sequence, not all cards in the same suit] 10 x 4 is number of ways of choosing a straight all of one suit. not including the straight flush and royal flush below] 4C1 x 13C5 - 4 x 10 Prob(Flush)  Poker Probabilities with Seven Card Deal.

### What is the probability of drawing a flush in a 5 card hand of poker - bonus

Odds Against Making a Straight Flush in Draw Poker. This article possibly contains original research. Related, useful or interesting IntMath articles. Since suits have no relative value in poker, two hands can be considered identical if one hand can be transformed into the other by swapping suits. This article has multiple issues. Number of players How are cards dealt Who is the first player. Join thousands of satisfied students, teachers and parents! A STRAIGHT This is five cards in a sequence e. The chances of being dealt free games downloads certain pat hand are the same, regardless of the number of players in the game. Sign up using Facebook. I'm not a pretty much fun of Poker, but I'd like to study that game. From basics to advanced strategy. The number of such hands is. Unizor - Probability - Advanced Problems 2