The answer is eight. Four jacks and four sixes are among the unknown cards. The probability that one of those eight cards will be shown on the river can be calculated easily. 46 unknown cards remain in the game: from the 52 cards, two are your hole cards and four of them are on the board. Of course, other players also hold cards in their hands, and some cards are in the “muck”. Suppose your hole cards are 9 and 8 of hearts. On the board are an ace, a ten, a seven and a three in different colors. A jack or a six would help you to make your straight, which will be very likely the winning hand. How many outs do you have? Outs Example 1: Straight Draw on the Turn And using a simple rule of thumb, it is even easier to calculate the probability to win the hand. Let’s have a look at three examples. After the flop, it is very easy to exactly calculate the probability to win. Typically, we speak about outs after the flop. But what do “Outs” mean? The principle of outs is quite simple. Any card that helps you to shape the winning hand is called an out. In some popular variations of poker, a player uses the best five-card poker hand out of seven cards.For sure you will already have heard of the term “outs” in relation with playing poker. The probability of drawing a given hand is calculated by dividing the number of ways of drawing the hand by the total number of 5-card hands (the sample space, ( 52 5 ) = 2, 598, 960 The following enumerates the frequency of each hand, given all combinations of 5 cards randomly drawn from a full deck of 52 without replacement.

4.1 Derivation of frequencies for 7-card lowball hands.4 Frequency of 7-card lowball poker hands.

3.1 Derivation of frequencies for 5-card lowball hands.

3 Frequency of 5-card lowball poker hands.

2.1 Derivation of frequencies of 7-card poker hands.

1.1 Derivation of frequencies of 5-card poker hands.

Calculate probability of poker hands