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Yes, but only if there are only two outcomes for an experiment: success and failure. If there are more than two outcomes possible, for example Win, Draw or Lose, the outcomes have to be grouped so that the assertion in the question remains valid.

Also, note that in everyday use there is a positive connotation for the word "success". This is not the case in probability theory. If you want the probability of a person being killed by a lightning strike, then success requires thaa person being killed. I somehow don't think the person would consider that a "success".

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Q: The probability of success is determined by the probability of failure and vice versa?
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