My mother just texted me that she hit on a damn video keno machine, 7 of 7 for $1771.
This isn't the first time, either. She's hit 5 of 5, 6 of 6, and 7 of 7 before... she's up literally thousands of dollars on this game in her life time.
It is one of the absolute worst games to play, the house edge is through the roof.
I hate to believe in luck as a rational-minded person, but how is it that I lose in a 2% house edge game like blackjack 9 out of every 10 times I play it (using optimal strategy) while others can consistently hit on stupid shit like video keno?
This isn't the first time, either. She's hit 5 of 5, 6 of 6, and 7 of 7 before... she's up literally thousands of dollars on this game in her life time.
It is one of the absolute worst games to play, the house edge is through the roof.
I hate to believe in luck as a rational-minded person, but how is it that I lose in a 2% house edge game like blackjack 9 out of every 10 times I play it (using optimal strategy) while others can consistently hit on stupid shit like video keno?

from the definition of variance. Then we apply the law of total expectation by conditioning on the random variable Y:
Now we rewrite the conditional second moment of X in terms of its variance and first moment:
Since expectation of a sum is the sum of expectations, we can now regroup the terms:
Finally, we recognize the terms in parentheses as the variance of the conditional expectation E[X|Y]:

