I have a 45% chance of losing money on my stock market trade and a 55% chance of winning.

Question

I have an average $55\%$ chance of losing money on a given stock market trade and thus $45\%$ chance of winning. I want to know what my chances are of having $1$ through $12$ consecutive losing trades?

Answer 1

This is very basic binomial probability.

Just take the very first formular on this wikipediaarticle: click me Where p would be your 55% and k the 1,2...,11,12 and n=12

Answer 2

$0.55^n$ Where n is the number of consecutive trades.