Odds on Streaks

[Mikeaber]

Ken,

I once saw a chart on the odds of winning or loosing streaks of different lengths. This might prove beneficial to someone wanting to play a money management type game (betting strategy.)

My simulator will tell me what the length of the streaks are in a pre determined number of hands played with simulated shuffles of different numbers of decks of cards and using specified playing strategies. But it does not give any sort of analysis that would allow me to come up with the probabilities to use as a rule of thumb.

47% I believe is the percentage of winning 1 in a row (dealer on the average will win 53% of the hands played)

Would you figure that winning two in a row would be 1/2 that or 23.5%.
Three in a row would happen then 11.25% of the time and so on?