I just wish that would've happened later in the evening when I was dealt four 2s on five play triple double bonus with an 8x multiplier. I drew only one kicker out of 5 hands, but that still made for a nice $1,440 payoff!

^{3}= about 1 / 12,978. To put it in perspective, the probability of making a Royal from a 3-card draw is 1 / 16,215.

If you look over on the NOT QUITE A ROYAL thread, RS holds a 3 of a kind and doesn't improve.....ON 50 PLAYQuote:ThatDonGuyAssuming each of the three hands is a separate line as far as the draw is concerned, of the 47 cards remaining in the deck, the probability that the fourth 8 is one of the two cards you will be dealt is 2/47, so the probability of doing it three times is (2/47)

^{3}= about 1 / 12,978. To put it in perspective, the probability of making a Royal from a 3-card draw is 1 / 16,215.

ODDS?

http://wizardofvegas.com/forum/gambling/big-wins/20177-not-quite-a-royal/16/#post520541

Quote:AxelWolfIf you look over on the NOT QUITE A ROYAL thread, RS holds a 3 of a kind and doesn't improve.....ON 50 PLAYQuote:ThatDonGuyAssuming each of the three hands is a separate line as far as the draw is concerned, of the 47 cards remaining in the deck, the probability that the fourth 8 is one of the two cards you will be dealt is 2/47, so the probability of doing it three times is (2/47)

^{3}= about 1 / 12,978. To put it in perspective, the probability of making a Royal from a 3-card draw is 1 / 16,215.

ODDS?

http://wizardofvegas.com/forum/gambling/big-wins/20177-not-quite-a-royal/16/#post520541

When holding trips, there are 47*46/2 = 1081 total combinations.

Quads: 1*46 = 46 (46 choices for kicker)

Full House: 10*6 + 2*3 = 66 (6 choices for pairs when all 4 cards are available in a rank, 3 choices when you throw away a card)

No Improvement: 1081-46-66 = 969 combos

No improvement 50 hands in a row: (969/1081)^50 = 0.0042160345 = 1 in 237.2

I would have guessed much rarer.

I've seen a neighbor pull off the 3 for 3 quad hit. He didn't even flinch when he did it.

nCr(2,2)*nCr(45,1)/nCr(47,3) = 0.0027752081406105

Above represents the probability to connect on one hand, so if I use the Vassar Stats Binomial Distribution Calculator, rounding to .00277521:

I end up with 0.00034148799842914634 for two or more out of ten or 1/0.00034148799842914634 or 1 in 2928.361 (Rounded)

I thought that was a much rarer occurrence than it actually is, I think most people tend to think that about these sorts of things when they happen. It turns out I have had rarer hits, such as pulling Quad Deuces whilst holding a single deuce, which I've done two (and possibly more) times, but I only remember two times.

I've also pulled a Royal holding two, which again, is rarer than the hit detailed above.

Yes I thought it would've been much rarer as well.Quote:tringlomaneQuote:AxelWolfIf you look over on the NOT QUITE A ROYAL thread, RS holds a 3 of a kind and doesn't improve.....ON 50 PLAYQuote:ThatDonGuyAssuming each of the three hands is a separate line as far as the draw is concerned, of the 47 cards remaining in the deck, the probability that the fourth 8 is one of the two cards you will be dealt is 2/47, so the probability of doing it three times is (2/47)

^{3}= about 1 / 12,978. To put it in perspective, the probability of making a Royal from a 3-card draw is 1 / 16,215.

ODDS?

http://wizardofvegas.com/forum/gambling/big-wins/20177-not-quite-a-royal/16/#post520541

When holding trips, there are 47*46/2 = 1081 total combinations.

Quads: 1*46 = 46 (46 choices for kicker)

Full House: 10*6 + 2*3 = 66 (6 choices for pairs when all 4 cards are available in a rank, 3 choices when you throw away a card)

No Improvement: 1081-46-66 = 969 combos

No improvement 50 hands in a row: (969/1081)^50 = 0.0042160345 = 1 in 237.2

I would have guessed much rarer.

I've seen a neighbor pull off the 3 for 3 quad hit. He didn't even flinch when he did it.