im gonna keep trying with you here
lets take a step back, and get to the simplest example i can think of, flipping a coin.
with a coin, there is 2 possible outcomes, heads or tails.
you would agree that in each individual coin spin, there is a 50% chance of a head and 50% of a tail, assuming the coin is unbiased, correct?
this percentage does not tell you the outcome of an individual spin, but it tells you, on average, how often each outcome will occur.
tails could come out 20 times in a row, then heads 50 times in a row. both of those scenarios are unlikely, but they could happen.
questions for you jo
1. does the fact that the coin has been heads 20 times in a row increase the likelihood that the next spin will be a head or a tail? or is it the same all the time.
2. if you bet $10 on heads every time, but i paid you $11 if you won, would you play this game?
3. now, the dude playing with you is rich and stupid, and he doenst wanna play any more. instead he just pays you $1 for every spin, regardless of the outcome. in the long term, which game, 2 or 3, is better?
the key point here, is that it doesnt' matter what your odds of winning in an individual hand are, what matters is the payoff when you do win.
if i told you that for $10, you had a 1 in 20 chance of winning $1 million, you would surely jump at the chance, because 1 in 20 are good odds.

