Quote:
Originally Posted by TheBossNigga
9 outs for flush - 19.1% on the turn - 19.6% to hit on river -
and 35% chance for hitting on turn or river
It should be 38.7%
No, you can't just add odds for discrete events like that. This is similar to
https://en.wikipedia.org/wiki/Order_of_operations.
Let's play a game. We flip a coin twice. If it comes up heads on either of those flips, you win.
What are your chances of winning?
Based on your math, the chance is:
Heads on first flip: 50%
Heads on second flip: 50%
50%+50%=100%
So you win this every time? If you flip a coin twice, it's really going to come up heads, at least once, every time?
What about when the first flip is tail and then the second flip is tails?
So how do you really figure this out?
You count the number of possible results and divide that into the number of winning results:
Result 1: Flip 1: Heads Flip 2: Heads
Result 2: Flip 1: Heads Flip 2: Tails
Result 3: Flip 1: Tails Flip 2: Heads
Result 4: Flip 1: Tails Flip 2: Tails
So there are 4 possible results when flipping two coins. Of those four results, all but result #4 has at least one coin coming up heads. So there are 3 winning combinations. 3/4=75%
The chance of flipping two coins and at least one coming up heads is 75%.
We didn't "lose" 25% of our chance here, just like you didn't "lose" 3.7% of your chance. It never existed. It was artificially inflated because you're doing the math wrong.