- Thread starter system2016
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I welcome any other input from other TS members

Hi,

I am playing a game. I win with an 88% chance and lose with 12% probability.

If I have won 20 games in a row what is the probabilty that I will lose the next game.

I am playing a game. I win with an 88% chance and lose with 12% probability.

If I have won 20 games in a row what is the probabilty that I will lose the next game.

That's a different question though than \(P(G_1=W , G_2=W , ... , G_{20}=W , G_{21}=L)\), the probability of the

\(P(G_1=W, G_2=W , ... , G_{20}=W , G_{21}=L) = P(G=W)^{20}P(G=L) = (0.88^{20})(0.12)\).

If there is dependence among the game outcomes, then more information would be needed.