After re-studying the concept of playing draws profitably by reading the article called "Mathematics of poker: Odds and Outs" I have some specific questions concerning the topic of discounted/modified odds.
http://www.pokerstrategy.com/strategy/bss/1563/3/
I understand everything perfectly until the "case studies" section, namely the examples 1, 2 and 5.
Example 1 - "However you cannot give yourself 12 outs anymore, as the pair in the community cards doesn’t make a full house probable, but possible. You still got 8 outs left, you’d need pot odds 5:1. Your decision is made. You fold. "
First of all, If my opponent had a fullhouse, I'd be drawing dead, and I can't seem to get why the
probability alone of him getting a fullhouse in this example forces me to discount exactly 4 outs. Perhaps I should discount the ace of spades, because that would really be annoying, but otherwise I can't seem to get how one comes to the number of 4 discounted odds.
Example 2 - "You do have a flush draw, but since it is weak, you can only count on 6-7 outs."
How can the strength of my flushdraw affect the number of outs I have? And if it does, once again, how do we come to the 6-7 calculation? (moreover - when is it 6 and when 7?)
Example 5 - "You bet on the flop with an OESD; your opponent raises. You have 8 outs and two over cards, which allow you to add another 2-3 outs."
Why don't the overcards allow me to add 6 outs? I mean, if hitting one of them doesn't make my hand ahead of everyone else's, why count them at all? How do we come to 2-3 outs?
Another small one not related to this topic, but still a little bit confusing for a new bigstacker in
Example 4 - since when is it ok to call from the small blind with 89o?
I realize there must be a reason for discounting a specific number of outs in certain situations, I just have trouble understanding the basis of some of these calculations. I mean, add or subtract one out and you have the wrong odds which leads to long term losses, so I thought it'd be useful for me to understand these situations correctly, and the article itself doesn't explain it too well. Can you help me figure this out?