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One way to notate the complement of an event A is not A. For instance, suppose that P(even) represents the probability of rolling an even number on a number cube. Then, P(not even) represents the probability of rolling a number that is not even on a number cube.
Consider the events from Activity 1.1, Questions 5 and 6—“rolling an even number” and “rolling a number that is not even.” What do you notice about the sum of the probabilities of these two complementary events?

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Sum is always 1

Step-by-step explanation:

  • Step 1: Find the sum of probability of complementary events.

The sum of probability of an event and its complementary event is always 1.

Here, the event is rolling an even number. Let it be P(even)

Its complementary event is rolling a number that is not even. Let it be P(not even)

P(even) = 1/6

P(not even) = 5/6

P(even) + P(not even) = 1/6 + 5/6 = 1