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  1. Partly agreeing with Blackjack Avenger Part 2:

    Quote Originally Posted by brh View Post
    Quote Originally Posted by brh View Post
    Thanks Gramazeka, I need these results for another thread:

    I am interested in the case where the Kelly bettor sets their goal at Infinity.

    1. Prob [Bank reaches "b", before loosing "a"](k) = [1-a^(1-2/k)]/[b^(1-2/k) - a^(1-2/k)]

    If lim b-> infinity (k<2),
    Prob [Inf,a](k) = [1-a^(1-2/k)]/[ 0 - a^(1-2/k) ]

    = - [1-a^(1-2/k)]/[ a^(1-2/k) ]

    = 1 - a^(2/k-1)
    Tags: kellyresizingror Add / Edit Tags

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