what are the chance of being dealt pocket jacks 3 hands in a row? after that i got dealt pocket kings, then pocket sixes
shareas much chance as getting dealt K7, Q2, Q4, 47, A9...........
Each separate hand the odds pf getting any two cards are exactly the same....
Actually you are wrong, being dealt a pair is less of a chance. Since there is only 4 of each card in the deck (4 K's, 4 Q's, etc) that means after you get 1 K (For example) the chances of getting another K is less since you have one of them and there are only 3 other K's in the deck compared to say 4 Q's :) But since you're not playing alone and there are other people playing that also have cards, the chances could go up or down depending on what they are dealt. If someone else gets dealt a K your chances will go down or vise versa. Good thinking though, but it's more complicated than that.
shareI completely disagree, there are 52 cards in the deck... each hand you're dealt gives you a random 2 of those 52... hence, any 2 cards..... the odds of getting dealt 7 2 off are the same as getting K K......
Case closed.
There are four kings in the deck. There's a total of six different combinations of two kings.
Hearts - Diamonds
Hearts - Spades
Hearts - Clubs
Diamonds - Spades
Diamonds - Clubs
Spades - Clubs
Thus out of all the two card combinations of a 52 card deck, only six will give you pocket kings.
There are four deuces and four sevens in a deck. They can be combined in 16 (4x4) different ways. Four of those combinations are of the same suit, so that leaves twelve. Thus out of all the two card combinations of a 52 card deck, 12 will give you 7 2 off.
As you can see, the odds are clearly not the same.
Case closed.
The odds of getting any 2 cards are the same.....
Lets divide the pack into 2... you now have 2 sets of 26 cards....
the first card... 2/26 chance of getting a King... or any other card for that matter..
the 2nd card... 2/26 chance of getting a king... or any other card for that matter....
so KK is just as likely as 72..... I don't see your point as say you first card was a king... you then have an equal 1/51 chance of being dealt ANY of the other cards.... so KK is just as likely as 72.......
Case closed. Full stop, no erases, sent 1 billion light years into space and sealed in a capsule that can only be opened with a retina scan from my eyes....
I hope for the love of god that you're not a poker player.
There are 2652 (52*51) different combinations when drawing two cards out of a 52 card deck.
As explained above, only six of those yield two kings, while sixteen (twelve if only counting off suit) yield 7 2.
Two kings: 6/2652 chance.
2 7 off suit: 12/2652 chance.
My guess is that you're confusing this with something else. If you were to say that there's just as big a chance to get KhKs as there is to get 7s2d for example, then you would be absolutely correct. But now we're talking about any combination that yields either pocket kings or 7 2 off suit, and clearly, there are more combinations for the latter.
If you still insist that this is wrong, then I'm passing the baton on to someone else, I don't think I can make it clearer than I just did.
Dieter-12 i agree with you and Marcamy i won 2 out of 3 with JJ, and i won with 66 and KK
sharelol PWNED!!!
shareI will try to explain this in the simplest terms to get Pete to understand.
To get KK you must first get one of four kings. Then you must get one of three kings. This gives us 4/52 at the first card and 3/51 at the second.
To get 72 you must get one seven or a four. One of total 8 cards (any seven or deuce will do). Then you must get one of four cards. This gives us 8/52 at the first card and 4/51 at the second.
(5/52) * (3/51) < (8/52) * (4/51)
I can even give you some statistics from my Internet play.
Out of 21 000 hands I have got 105 K-K and 251 7-2. So it is not just theoretical, it is so even in real life :)
I'll explain my theory in the simplest terms:
52 Cards in the pack....
you get dealt one... lets say a King... so you had a 1/52 chance of being dealt this, or ANY other card
51 cards left....
you get dealt another... lets say a deuce... so you had a 1/51 chance of being dealt this, or ANY other card
Thus, the chance of being dealt any 2 cards, pair or otherwise is just as likely as being dealt any other combination of cards.....
Thats my theory....
Your reasoning may seem correct, but it is wrong if you dont take the suit into account.
So, yes, you will be dealt a pocket pair with seven of hearts and spades, just as often as you will get eight of hearts and four of clubs.
But if you ignore the suits, a pocket pair of, lets say, sevens is much less likely than Jack King.
If you want to know why, see my earlier post.