suppose hero is facing a preflop ALL-in with AQcc, and somehow he knows his opponet plays this way if and only if he holds 67ss, or AA. each player started the hand with 100bb stacks, there is 40bb in the pot , and it would cost hero 80bb to call. what is his play?

solution 1- first the EV of folding is 80bb, (in this case, we r doing the EV caculation by the expected stack by the end of the decision node). Villain holds 76CC, 76HH, 76SS, 76DD, and 3 combos of AA since we blocking one A, if hero calls, he will run into AA 3times and 67s 4times, he is equity against that range is 40.49%. there will be 200bb in the pot if we call, so 200x40.49% = 80.97bb 80.97>80, so its call.

solution 2- we r risking 80 to win 120, so 80/120=2/3 how do i caculate how often do i have to be right or how much equity do we need to make the call. i did it two ways. 2/3=66% and 3/2+3=60%, and i think they r both wrong, if we need more than 60% of equity to call, then clearly this is a fold but i know for a fact that solution 1 is correct, (from a book) pretty dumb question but im really confused here.. thanks guys!!