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Help me relearn statistics
AresProphetI see a darkness in my fateI'll drive my car without the brakesregular
I somehow got a 5 on the AP stats test back in high school, and I can't remember a damn thing from the class. Mostly, I just need to know how to solve a specific type of problem (it's not in any way school-related, nor is it gambling-related despite the example), though a site that gives a general overview of stats math would be really nice. The problem is simplified below.
Say I'm playing a shell game, where someone puts a coin under one of three shells at random, shuffles them, then I get to guess which one has the coin under it. The probability of being right p = .33, that's easy. I can also figure out the probability of losing/winning a certain number of times in a row (p^n and [1-p]^n). What I can't remember is how to calculate what the odds are of getting a certain number of guesses right, with a fixed n. How can I calculate the probability of winning exactly 4 out of 15? Or more than 3 out of 10? Or less than five out of twenty?
I should remember this, and I don't, and it's embarassing.
oh, gimme some time
show me the foothold from which I can climb
yeah, when I feel low
you show me a signpost for where I should go