Re: A few questions about \"running it twice\"
Suppose you have 1 out.
Equity running once = 1/45 + (44/45)(1/44) = 1/45 + 1/45 = 2/45
Equity running twice = .5 * [1/45 + 44/45(1/44)] + .5 * [(2/45)(0) + 43/45(1/43) + 42/45(1/42)] = 2/45
its the same... the common mistake you are making is just that you need to offset all later cards by the probability that you didnt win until then.
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