Number of possible outcomes = 22 000 Number making the NHL = 11 Number not making the NHL = 22 000 - 11 = 21 989
odds in favour = favourable outcomes : unfavourable outcomes = 11 : 21 989 The odds of making the NHL are 11 to 21 989.
The odds of not making the NHL are 21 989 to 11.
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In Example 3d, you might have noticed a new notation, P ( A '). This denotes the complement of an event. In Example 3, the event is making the NHL , so the complement is not making the NHL . The complement can be thought of as a not probability, the chance of an event not happening . If you consider an event and its complement, you know that one or the other must happen. This means that, if you add the probabilities of either happening, you should get 1 or 100%.