You play a game of chance that you can either win or lose (there are no other possibilities) until you lose. Your probability of losing is p = "0.7". What is the probability that it takes five games until you lose?
If it takes 5 games to lose, that means you win the first 4 and lose the fifth so your equation is .3 * .3 *.3 *.3 *.7= .00567. That is the probabilty you lose by the 5th game.
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