Re: question on narrowing hand ranges
Before the flop, the ratio of AK to 88 is 1.6 : 6. (16 ways to get AK, but he only plays 10% of them, 6 ways to get 88 playing all of them.)
Once the flop comes down you have to discount AK by 3/4s (12 left out of 16) and the 88 by 1/2 (3 left out of 6). This leaves you with a ratio of 1.2 AK's for every 3 88's.
Now the ratio of "AK and raised" : "88 and raised" is 1.2 * .9 : 3 * .1 = 1.08 : .3
Convert it to a percent and I get 78.26% for AK and 21.74% for 88.
*I could have done this wrong, I'm not a math major!
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