What’s the odds drawing a royal on 3 lines

[applepear86]

I drew the 3 exact same cards in a row once on triple play. Unfortunately it didn't improve the hands.

20201227_163231.jpg

That's a more modest 47x47 shot, when you consider whatever card comes up on the first hand can be repeated twice in a row above it. If you guessed the card before it came out, that would be the mindblowing 47x47x47.

[applepear86]

I once got an quad from holding queen king (can't remember which one it was). Anyone know how to calculate that?

[onemoretry]

My understanding is that when drawing three cards, there are 16215 possible results. Drawing to two cards, then, hitting a quad on either of them would be one in 8107.5.

[applepear86]

My understanding is that when drawing three cards, there are 16215 possible results. Drawing to two cards, then, hitting a quad on either of them would be one in 8107.5.

That seems a lot more common than I would have thought. Interesting.

[dinghy]

Interesting.

Here's the confirmation from WinPoker:

[Jstark]

47×46×45/3/2/2

[applepear86]

47×46×45/3/2/2

But the first line's card drawn doesn't matter, in regards to calculating how often that scenario happens when holding 4 cards of anything. Because any card can be repeated on the next two lines. So it's statistically much more common than you'd expect.

Let's say you're flipping a coin, and you flip 10 heads in a row. Happens on average 1 in 1,024 flips. You proceed to flip it the next 10 times, and all heads again. You think to yourself "Wow! 20 heads in a row. A 1 in 1,048,576 event. Maybe I should have went to the casino instead!" But in actuality, any 10 flips you did could have been repeated the next 10 flips after. You think you're witnessing a 1 in a million event, but it happens once every 1,024 times because all 1,024 combos are in play the first 10 flips. Do you get what I mean now? Any card drawn on your first line could have been repeated on the next 2.

[applepear86]

Interesting.

Here's the confirmation from WinPoker:

Thank you. I'm going to feel a little bit of hope everytime I have to do that miserable hold now.

[Jstark]

I drew the 3 exact same cards in a row once on triple play. Unfortunately it didn't improve the hands.

20201227_163231.jpg

That's a more modest 47x47 shot, when you consider whatever card comes up on the first hand can be repeated twice in a row above it. If you guessed the card before it came out, that would be the mindblowing 47x47x47.

Mine wasn't right, but drawing a specific card is.