Originally Posted by
MadMojoMonkey
Well, I mean, maybe not necessarily "ridiculously" hard to solve. Just an order of scale up from asking if you'll draw certain cards. Like, asking the kind of questions about drawing cards can be solved in less than 15 minutes (usually much less once the first solution is found). However, asking how cards are drawn AND played involves the sequence of the draw, not merely the occurrence of the draw.
It's not enough to just draw any 2 pairs over the next 9 cards; you have to draw them AND play them. Since you don't get all 9 cards at once, then drawing any 2 pairs is not necessarily (or even likely) a "successful" draw.
I can solve this, but I'd need to solve a bunch of intermediate steps, since the original question is poorly stated. There are a LOT of ways to draw and play cards which can result in a final hand value of 2 pair. In order to solve the equity for that primary case, we need to sum the equities of all the subsidiary cases that lead to the primary case being achieved.
So I'd need to answer a question like, "What is the equity to draw at least 1 K or Q and also making 2-pair in the mid, if I place a wired pair to the mid on the first draw, having NOT drawn a K or Q, then on the 2nd draw I place a kicker and a K or Q, then on either the 3rd or 4th draw I pair my kicker."
So you need to state the entire line for which you want to solve the equity, in order to solve the equity. Then, you have to state every possible line that leads to a successful outcome, and solve for the equity of each line. Then, you sum the equities from all those results.
There is no individual step that is prohibitively hard. The hard part is being creative enough to identify every possible route to success. After that, it's just plugging numbers into a simple formula that has been known for decades.