Originally Posted by Alan Mendelson View Post
Arc you wrote: "It's not a one card draw, Alan. So 9/47 is not relevant."

I didn't say it was a one card draw. I said: "Now, holding AQJ you have 9 cards that would give you a winning pair. That's 9/47 remaining cards"

Where did I say it was a one card draw? After the initial deal there are 47 cards remaining. 9 of the remaining 47 cards would help you make a high pair. That's 9/47. Isn't it?
Nope, you could draw 9 out of 47 as the first drawn card and, if that fails, 9 out of 46 with the second card drawn. This is a total of about 32% of the time. Note that 9/47 =~ 19%.