I'm in the BB with

6 people call a raise and I call as well. pot 14 SB's.

Flop is , UTG bets out 3 calls. good time to take one off? pot 18 SB's.

NO, you need runners. Odds are good, but not the chances of you winning. I believe you are NOT getting odds to call this.

my thinking was there are 10 hearts 8 of which won't pair the board and 3 other 7s and Jacks, the 7s being the safest out. I was almost positive UTG had AK, the others are loose but would have raised with 2 pair or better so I really wasn't to concerned if a heart paired the board.

I have 14 outs to a good draw and possibly 2 other outs.

Just using the 14 outs I'm roughly 2.5 to 1 to hit one of them on the turn.
I'll be overly careful and give myself 3 to 1 odds. so 3 times I lose 1 SB.

1 time I continue on, with about 8 outs. or about 5 to 1 (again being careful)
so 5 times when i continue on i lose 2 more bets or 3 SB's total
and 1 time i win around 30 SB's. This is without adding in the 4% of the time you have a straight flush draw.

if I can average 28 SB's per win, (I would win 5 out of 100) I would show a 5 SB profit. 75 times i lose 1 SB, 20 times I lose 3 SB's.

And this was being extremely cautious with the odds, the odds are actually better than this. Or maybe I'm just justifying a loose call

Made a straight and check-raised the river with 2 callers 32 SB pot.

Your runner-runner odds without a paired board are around 24:1, though aren't they?

3:1 for the draw and 5:1 on hitting the river? So:
75:25 and then 21:4, so we're lookin' at 96:4=24:1

Based on this, I'd say that this is a bad spot to take a card. Where my math is faulty, let me know. This is on the fly.

No your math is right but look at how i worked it out in my second post. since 3 out of 4 times you only pay 1 SB, it's that other 25% if the time that makes or breaks your odds.

If you're a 24:1 shot, you'd have to expect to have to pay on the turn 25% of the time, which will be an 8-9:1 call which is good, do the large odds on the pot make up for the mathematically inept call on the flop?

Maybe. I'll give it a whirl, but you're answering my question with your math as to prove: yes, you make up for it and them some. But, yes, you are desperately trying to justify a loose call as in the more of a long shot you are, the more hands that you'll need to make your profit.

I think of it this way. If someone offers me a bet once a week for a year, giving me 52:1 odds on me picking up a 4-8-10 split, legally (as in it can't bounce out of the gutter), I would not take the bet. Could I do it once in 104 times, maybe? But would I make a long term investment to break even and gross a couple of extra bucks (or bets)?

What about the odds of someone having a higher flush draw, how much would that reduce your profit?

this is one of those times that I'm not so sure the odds tell the whole truth.

if every time it cost me 2 SB's it would be a bad call since i figure the final pot in the 30 SB range.

however it will cost me on average 1.35 SB's. and my return will be around 1.4-1.5 Sb's.

It's pretty close and not a call I would make every time but I was almost positive the UTG had AK and the others had a pair or a pocket pair by how they would play anything else. my read that any straight I would make would be good made me call, i also think the King was the heart not the 9 like I posted because I remeber saying he doesn't have AK suited.