If the probability of winning is X, what is the probability of losing? (Assume there are no ties.) | MathCelebrity Forum

If the probability of winning is X, what is the probability of losing? (Assume there are no ties.)

math_celebrity

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If the probability of winning is X, what is the probability of losing? (Assume there are no ties.)

This means you can either win or lose. Since all probabilities in the sample space must add up to 1, then we have:
P(Winning) + P(Losing) = 1
P(Losing) = 1 - P(Winning)

Since P(Winning) = X, we have:
P(Losing) = 1 - X
 
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