probability of royal flush in omaha?

[elrudo]

What is the probability of getting a royal flush in omaha holdem ? (given hand goes to showdown)

Please include explanation/computations or provide a link where i can find those.

Thanks in advance.

[pzhon]

[ QUOTE ]
What is the probability of getting a royal flush in omaha holdem ? (given hand goes to showdown)

Please include explanation/computations or provide a link where i can find those.

Thanks in advance.

[/ QUOTE ]
The probability that the board has 3 to a royal flush is 4*5C3*47C2/52C5. Given that, the probability that a particular 4 card hand has the other two is 45C2/47C4. So the probability that you have a royal flush is 1/10,829.

Another way to do this is to imagine you are dealt 9 cards. The probability you get a royal among the 9 cards is 4*47C4/52C9. For the royal to be an Omaha hand, precisely 2 of the 5 cards must be in the player's hand, which happens with probability 4C2*5C3/9C5 = 10/21. The product is 1/10,829.