5 card poker hands probability

Probability of getting exactly triple jacks after you get a jack in your hands (statistics)?

I need help! It's a homework-a project, really.
So this man named Slim is dealt a jack of spades from a standard deck of cards. So what is the probability that he will end up with exactly 3 jacks in his hands in a card game(poker) that deals 5 cards? (4 more cards will be dealt)
I thought it would be this-
(3 nCr 2)(48 nCr 2)/(51 nCr 4)
Thanks!
Only Slim is getting dealt...he's the only person

You are correct.

For the benefit of anyone else how will query Yahoo answers....

You can use the hyper geometric distribution to find the solution

you have
K = number of items to be drawn = 4 more cards here
N = total objects = 51 total cards
M = number of objects of a given type = 3 jacks

P(X = x | N, M, K) = ( M C x ) * ( (N - M) C (K - x) ) / ( N C K )

If you have n objects and chose r of them, the number of combinations is:
n! / ( r! (n-r)! )
this can be written as nCr

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the N C K is the total number of possible combinations of K objects drawn from N objects.
the M C x is the number of combinations of getting x objects of the given type
the (N - M) C ( K - x) is the number of combinations of non typed objects to be drawn.

P(X = 2 | N = 4, M = 3, K = 2) = (3 C 2) * (48 C 2) / (51 C 4)
= 3 * 1128 / 249900
= 0.01354142

Poker Hand Rankings - Poker in Montana

In poker, players construct hands of five cards according to predetermined rules, which vary according to which variant of poker is being played. These hands are compared using a hand ranking system that is standard across all variants of poker.

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The player with the highest-ranking hand winning that particular deal in most variants of poker. In some variants the lowest-ranking hand can win or tie.Poker hand rankings are usually given from the highest to its lowest like from the one card hand to straight flush. The lowest to the highest.

The best possible straight flush is known as a royal flush, which consists of the ace, king, queen, jack and ten of a suit. A royal flush is an unbeatable hand. The straight flush which we all know is the highest poker hand.

Then followed by the Highest four of a kind wins. In community card games where players have the same four of a kind, the highest fifth side card ('kicker') wins. Then ususally interfered by the full house which we all know consists of the highest three matching cards wins the pot. In community card games where players have the same three matching cards, the highest value of the two matching cards wins.

These are just samples of the poker hands, and as you can see it is leveled. This is known as poker hand rankings. hus while the outcome of any particular hand is determined mostly by chance, the long-run expectations of the players are determined by their actions chosen based on probability and psychology. For you already took the risk and gambled what you have. It is really fun to learn how to play such game. For you to be able to succeed you would be needing focus and determination.

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