Lambdia

Law of total probability

2 artículos

A 40% Shot Beats a 70% Shot That Only Buys a Coin Flip

Going in and winning are different events: the short shot clears two hurdles and wins 0.35 of the time against the long shot's 0.40. The article prices how wrong the reflex is in two currencies, a break-even overtime rate of 4/7 and a break-even make rate of 80 percent at a coin-flip overtime. It also names the objective under which the reflex is right, since the short shot scores 1.40 expected points against 1.20 and still wins fewer games.

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One White Marble, Alone in a Jar, Is Worth 74/99

Fifty white marbles, fifty black, two jars, and a fair coin choosing which jar gets drawn from. The even split gives exactly one half, and so does every other split where the jars are the same size. Isolating a single white marble reaches 74/99, an exchange argument proves nothing beats it, and three quarters turns out to be a ceiling no arrangement ever touches.

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