What the odds of an all black or red board coming up in a holdum Poker Game? That is, 5 red or black cards.?

I need to know the odds of five red or five black cards coming on board in a single hand or holdum. I have a bet with a buddy and need a math guy to figure this out for me. Please include the way you got to the answer so I can prove it.

The odds of an all black OR all red board is 5.06%.

Math work: Because you are looking for a board of the same color, the first card drawn can be any of the cards(odds of 1/1). The second, third, fourth, and fifth cards then need to match the first color.

The odds of the second card being the same color is 25/51 (There are originally 52 cards in the deck, 26 of each color. But since the first card is lready drawn, there are only 51 cards remaining, 25 of which are the color you need. Apply this principle to the 3rd, 4th, and 5th cards).

The odds of a third card being the same color as the first is 24/50.

The odds of the fourth card being the same color is 23/49.

And the odds of the fifth card being the same is 22/48.

To calculate the odds of a board of all the same color, multiply the odds of the individual cards:

1/1 x 25/51 x 24/50 x 23/49 x 22/48

That equals 303,600 / 5,997,600. When converted to a percentage, the result is a 5.06% chance of a board of the same color.

Note: If you want the odds of a specific color, take half of that percentage (the odds of the first card become 1/2). That is, there is a 2.53% chance of an all red board, and a 2.53 % chance of an all black board.

poker all in

Three-in-One Cherry Finish Wood Dining, Poker, Bumper Pool Table with Chairs Set $3,499.99 Three-in-One Solid Cherry Wood Pool Poker Game Dining Table Chairs set This is a brand new designer 5 pieces “three in one” game table set with 4 matching oak chairs. The game table features 42″ of playing surface, and can be transitionally changed between 3 settings: bumper pool table, poker table, or dining table. The pool sticks and balls are included in the set. The price shown is for the game…

Licensed World Series Of Poker Shot Glass $2.99 …

Coaster Mitchell Bar Unit with Storage in Oak Finish $1,048.84 Create a game room your guests will admire with the Mitchell collection. Featuring unique game tables, comfortable game chairs, bars, and bar stools, this collection will establish a fun and inviting environment. With solid oak construction for durability, this group is available in either a cherry or oak finish to accommodate your stylistic needs. With its multipurpose composition, this bar unit …

The Fame $7.95 Has an album title ever been so self-prophetic? In its first year, this electropop opus rocketed Lady Gaga from unknown New York lounge singer to the world’s biggest pop star this side of Britney Spears. The Fame’s brand of pop is shamelessly decadent: 11 of its 13 songs are about money, celebrity, sex, clubbing, or a sticky combination of all four. It’s insipid subject matter, u…

Glee: The Music, Volume 3 Showstoppers (Deluxe) $9.83 Other…