I'm UTG Pre-flop with two opponents, both all in, one is RICHIDIOT (3-6s) in the big blind, and the other PLAYER2 (UTG+2), probably has a made hand (10-10) and goes all in, triggering RICHIDIOT to make the pot effectively $300, I need to bring my $3 up to $150 to call and make the pot $450.
I'm holding AQ offsuit, knowing that I've probably two overcards on PLAYER2 and a 47.84% chance of pairing with the board, strongly indicating a positive EV situation.
Now my question relates to PLAYER2 pairing the board (17%) or catching a set (19%), as well as calculating my pot equity if I call.
(I use the accurate number above even though I inaccurately would calculate pairing the board as (1-3/49)(1-3/48)(1-3/47)*(1-3/47)= 23%)
How do I structure the equation using 47.84%, 17%, 19% to represent my actual chance of winning the hand. (Not including the chance either he or I catches a straight, flush, or I catch a set, etc.)
What is my pot equity from calling?
What would be the calculation to show my true chance of winning the hand, including chances either of us catch straights, flushes, etc.
I didn't call as I had already determined that this was my last hand of the night, but after thinking about it being what I thought to be clearly a positive EV situation, I later regretted not staying in. I would like to make a better decision in the future by understanding fully what my decision here should have been based upon. And yes, a Queen came out on the turn, but that isn't what got me to ask this question.