smoothgrh
smoothgrh
Joined: Oct 26, 2011
  • Threads: 65
  • Posts: 685
February 22nd, 2019 at 10:53:54 PM permalink
The Internet has failed me! What is the probability of getting the Gee Joon tiles in a hand of Pai Gow?

Is it 1 in 5,933?

I hope I don't have to travel all the way to the National Museum of Mathematics for the answer!
ChesterDog
ChesterDog
Joined: Jul 26, 2010
  • Threads: 7
  • Posts: 924
February 22nd, 2019 at 11:04:11 PM permalink
There are combin(32,4) = 35,960 possible Pai Gow tiles hands.

And there are combin(2,2)*combin(30,2) = 435 possible hands containing the two Gee Joon tiles.

So, the probability of getting dealt the two Gee Joon tiles is 435 / 35,960 = 3/248.
smoothgrh
smoothgrh
Joined: Oct 26, 2011
  • Threads: 65
  • Posts: 685
February 23rd, 2019 at 1:36:48 AM permalink
Thank you.

I might be bad at Googling, but I'm definitely bad at math!

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