innonimatu
the resident Cassandra
- Joined
- Dec 4, 2006
- Messages
- 15,374
It's a concept in statistics. Suppose you are tossing a coin. You have 50% chance to get head, and 50% chance for tail. Each flip, individually, is quite random. But if you toss the coin for 1,000 times, it's very likely that you get close to 500 heads and 500 tails - the randomness in either way cancells each out. If you get $1 for each head and $0 for each tail, you'd won $500, as if you won a certain $0.5 from each bet. We say the mathematical expectation of this bet is $0.5.
Now suppose you have a 100-face dice, you won $100 when you throws a 100, but each throw costs you $2. You make 100,000 throws. If chances are fair, you'd win 1000 times, or $100,000 in total. The tickets cost you $200,000. So the mathematical expectation would be ($100,000 - $200,000)/1000 = $-0.5. Numbers vary, but it's a rule that the expectation for the average player is negative. That is where bookmaker's profit comes from.
So you just described a game where the same thing is repeated over and over again. Life doesn't happen that way. If anything, you should be arguing about compound probabilities. Your reasoning about probabilities doesn't apply. Bad and good random events in an individual's life do not on average cancel out as you tried to claim, because each event has consequences influencing posterior events. I'm not letting you write off the effect of luck with that argument.
By the way, here is an interesting piece about luck and peoples' wrong perception (denial) of it.
How cognitive illusions blind us to reason