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Pair v Flush Draw in Video Poker

Video Poker 2In video poker, one of the hardest concepts to grasp is that you aren’t always looking to make the play that wins most often. That’s right, this is not always going to be the best play for any game variant of video poker.

As a basic rule, you want to be looking to make plays that pay out the most money over a longer period of time. This means that the frequency of winning is less important than the profit made; so while you may win fewer hands, you will actually make more money.

It’s actually a huge money leak that many players don’t realise they have, and the way people play (incorrectly) actually increases the house edge. Video poker is renowned as having one of the lowest house edges of any casino game, but the number of people who fail to play with an optimal strategy actually makes it one of the best earners for online casinos.

A great example of this is the choice between holding a low pair or a flush draw. We’ve already looked at a similar situation with the high card to the low pair, finding that the low pair is always the best hand to take.

In short, you should always take the flush draw over the low pair, but let’s look at why this is.

Example

Let’s assume that we have a board as follows:

Video Poker Hand 1

This is the classic example of having a low pair with 4 cards to a flush draw, and is a tough spot for the player.

The win percentage on the low pair is 28.3% when you hold these cards. The win percentage on holding the 4 cards to the flush is 19.1%. You would assume then that it’s better to hold the pair, but this is not actually the case.

You see, one of the most crucial aspects of video poker is taking into account the pay tables. They range for each game, but for the most popular game of Jacks or Better it will look like this:

1-coin 2-coin 3-coin 4-coin 5-coin
Royal flush 250 500 750 1000 4000
Straight flush 50 100 150 200 250
4 of a kind 25 50 75 100 125
Full house 9 18 27 36 45
Flush 6 12 18 24 30
Straight 4 8 12 16 20
3 of a kind 3 6 9 12 15
2 pairs 2 4 6 8 10
Pairs of Jacks or better 1 2 3 4 5

The key thing to note here is the 6 to1 price that we are getting with the flush. The most common hand that we might hit when initially holding 1 pair is 2 pair, followed by 3 of a kind, then 4 of a kind. The first two hands (two pair and 3 of a kind) are both beaten by the flush. The price is the key factor in our decision here.

We now go from looking at the frequency of the win to the average returns for each scenario. When we hold the pair, we are looking at getting 4.1 coins as an average return, but with the higher paying flush we are getting 5.7 coins as an average return.

As with the high card v low pair article we wrote, this is another example of taking the outcome that pays the most over the outcome that pays out the most. This is why we take the flush draw over the low pair every single time.

High card v flush draw

Let’s take a look and see what would happen if we take the flush draw over a high card. We know that the low pair beats the high card and the flush draw beats the low pair, but by just how much?

Let’s assume that the board has run out as follows:

Video Poker Hand 2

In Jacks or Better, we are looking at a return of 2.4 coins on the Queen of hearts (high card) and 5.7 on the 4-card flush draw. This high card actually brings winners 33.4% of the time, much higher than the 19.1% of the flush draw, but the huge difference in the average win makes the flush draw the best bet to take here, and by some distance as well.

High pair v Royal Flush draw

This is a situation that rarely occurs, but it’s still interesting to run the numbers. Most people would automatically jump at the Royal Flush draw as they are so rare and you get so few chances to really chase it, but do the numbers stack up for long-term play?

Our hand is as follows:

Video Poker Hand 3

It’s a bit of a dream board, but we still need some luck to take down a big pay day. We’ve an instant win with the pair of Jacks in there, and the average payout we would get from this playing Jacks or Better is that of 7.7 coins.

To take on the Royal Flush draw, we would need to get rid of the Jack of hearts and leave the remaining 4 cards. We would lose 24 from 47 possible draws here, but given that one of our potential winners could then be a Royal Flush, this skyrockets our average return of 92.7 coins.

Given that the Royal Flush pays so much higher than other results, this is always going to be the play here. The numbers involved are actually a worst-case scenario for the Royal Flush as lots of games also include progressive and traditional jackpots when you strike it lucky. This would increase the average pay out even more.

Final thoughts

Thought BubbleThe key here, as it was with the high card v low pair article we wrote, is that you need to take into account the average return and not the frequency of the win.

Yes, it may be tempting to bag a win, especially if you’ve gone a few hands without one, but long term this will limit the amount of money you can win and increase the house edge in the game.

The flush is a powerful hand in video poker and one that is also obtainable and pays pretty well. With other variations of the game you’re going to be looking at adjusting these numbers to accommodate the various different payouts, but in each case, even though the numbers will be different, the play will still be to take the flush draw over the pair.

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