Drawing to Four to the Royal

[onemoretry]

Everyone who plays much video poker has, I'm sure, experienced many times the agony of whiffing on the draw. Single line draws are bad enough, but the multiline ones seem to hurt a lot more.

But, it's not always a

disaster. Recently, a friend sent me a picture of one that turned out pretty good. I am going to try and attach it here so you can see what I mean.

[olds442jetaway]

I think we will give that one a “Very Good “ OMT

[Come Back Kid]

That is very good indeed!

[OTABILL]

Ditto

[atomic2025]

He played a good game, NSU, which pays 99.72%.

With 10-play video poker and a 1-in-47 chance per line to complete the royal (after being dealt 4 to a royal), the outcomes follow a binomial distribution.

Here are the odds for getting exactly 0, 1, 2, or 3 royals on the draw:

Royals hit
Probability
Approx odds
0
0.806
80.6% (about 4 in 5)
1
0.175
17.5% (about 1 in 5.7)
2
0.0172
1.72% (about 1 in 58)
3
0.0010
0.099% (about 1 in 1,006)

[Tedlark]

Really nice and am happy for your friend, OMT. It's the 7th best outcome.

[TripleTriple]

I believe it's the eigth best outcome (there are eleven possible outcomes)..

[Tedlark]

I believe it's the eigth best outcome (there are eleven possible outcomes)..

0 royals - 10th
1 royal - 9th
2 royals - 8th
3 royals - 7th

Unless, I am mistaken.

[Tedlark]

I believe it's the eigth best outcome (there are eleven possible outcomes)..

0 royals - 10th
1 royal - 9th
2 royals - 8th
3 royals - 7th

Unless, I am mistaken.

[FAA]

I had to note this agonizing brick from my trip.