Quote from college_trad3r:
you have to look at the expectancy of the probability...
There is no such thing as the "expectancy of the probability". There is no such thing as "expectancy" formally defined either.
Calling expectancy the expected gain of a trading system was not a good choice of a term made by Tharp.
He obviously meant the expected gain of a trade, which is the probability-weighted sum of the possible values of the random variable "trade P/L", when the sample size approaches infinity.
The expected gain. or expectancy, is the "edge" of a trading system, i.e. the amount it is expected to win per trade on the average as the sample size becomes very large.
The average win is the odds of the trading system, i.e. the amount made when a trade is a winner on the average.
Expectancy/average win = optimal bet size (approximately)
See: http://www.tradingpatterns.com/Kelly.pdf