The complement of an event is: all other possible outcomes of the repective experiment.
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The complement of an event occurring is that it does not occur.
"one third" is not an event and so cannot have complement nor a probability.
An event is an outcome or set of outcomes of an experiment. For example, if you want a coin to land on heads when you are flipping it, and it DOES land on heads, THAT is the event. If it lands on tails, that outcome is the complement
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The complement is 60 degrees.