Which jackpot will I win first...

[David Ottosen]

The casino nearby offers two jackpots. In Omaha, you win the jackpot either by making a royal flush, or by being dealt a pat 4 of a kind. Which one is more likely?

[BruceZ]

Pat quads is 13/C(52,4) = 1 in 20,825

Royal Flush is 4C(5,2)*C(47,2)*C(45,2) / [ C(52,4)*C(48,5) ] = 1 in 10,829

So the royal is almost twice as likely.