#1
I just want to say that for number 1, answers above 50% make no sense at all. If he goes all in, hero risks 4k to win 4k in the pot. If hero has no equity at all, villain needs to fold 50% of the time for moving all in to have a positive expectation. Since hero has equity, villain needs to fold less than 50% of the time.
If hero is a 4.9:1 dog, he has about 17% equity. So of the times that he is called, he will win 6k 17% of the time.
EV(calling) = EV(folding) where x equals the percentage of time villain folds and 1-x equals the percentage of time he calls
x (4000) + (1-x)(.17)(6000) + (1-x)(.83)(-4000) = 0
4000x + 1020 - 1020x - 3320 + 3320x = 0
6300x = 2300
x = 36.5%
You definitely don't need to do this calculation at the table, but if you're guessing like 70% that might be a leak. My first guess was 40% (a bit below 50).
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