How Many Different Kinds Of Poker Are There

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Algebra -> Probability-and-statistics-> SOLUTION: A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards. How many different hands are there consisting of (a) four hearts and one spade? (b) three red card Log On

How Many Kinds Of Poker Are There

Poker: A selection of cards from the deck where order doesn’t matter. Let’s start with an example question. It’s often said that there are 19,600 different possible flops in Hold’em. Prove this mathematically using combinations. There are MANY different varients of poker around the world. They fall into 3 main categories:. Draw poker: Games in which players are dealt a complete hand, hidden, and then improve it by replacing cards. The most common of these is Five-card draw. Did you know that there are many different types of poker games? This is quite natural because poker was introduced at the beginning of the 19th century in the United States which means that there was sufficient time for players to develop different variants of this interesting card game. The betting limit of any particular game dictates how much a player may bet or raise.

Many Types of Poker to Play. There are LOTS of poker variants and, thanks to the ever growing popularity of the game both online and in land-based casinos, more are being cooked up all the time. Our poker experts are always on the lookout for new poker variations, and the best new poker sites at which to play them, and we regularly add new content.

How Many Different Kinds Of Poker Are There Now

Question 520629: A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards. How many different hands are there consisting of (a) four hearts and one spade? (b) three red cards and two black cards? (c) at least 3 face cards? (d) 2 aces and 2 face cards?
Found 2 solutions by stanbon, edjones:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards.
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How many different hands are there consisting of
(a) four hearts and one spade?
# of ways to get 4 hearts: 13C4 = 715
# of ways to get 1 spade: 13C1 = 13
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Total # of ways = 715*13 = 9295
(b) three red cards and two black cards?
# of ways to get 3 red = 26C3 = 2600
# of ways to get 2 black = 26C2 = 325
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Total # of ways = 845,000
(c) at least 3 face cards?
There are 12 face cards:
3 face cards: 12C3*40C2 = 220*780
+ 4 face cards: 12C4*40C1 = 495*40
+ 5 face cards: 12C5*40C0 = 792*1
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Total # = 171600 + 19800 + 792 = 192,192
(d) 2 aces and 2 face cards?
# of ways to get 2 aces: 4C2 = 6
# of ways to get 2 face cards: 12C2 = 66
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Total # of ways = 6*66 = 396
Cheers,
Stan H.

Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website!
a)13C4*13C1=715*13=9295
b)26C3*26C2=2600*325=845000
c)12C3*40C2+12C4*40C1+12C5=171600+19800+792=192192
d)4C2*12C2*36C1=156816
.
Ed