Probability both Player and Dealer are Dealt any Queen High in same hand in Pai Gow Poker

Hi Wizard,

Your websites are chalked full of great information, I saw another posting stating, the odds of both the player and dealer receiving any 9 high in the same hand in Pai Gow Poker is about 26.4 million to 1.

How do you determine the probability that both the player and dealer are dealt a queen high in the same hand?

Given that a Q high Pai Gow

Combinations of getting any queen high = 2719500/154,143,080 = Probability = 0.017643

Thanks for the help, Mike from Cali

Pai Gow hands facing pai gow hands are relatively rare.
The queen high is about 1 in 58, so it is one is 3,300 or so, less often because a queen and lower cards are consumed by the other hand.