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Q: Is 9 complementary to 1?

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If an event is absolutely certain to happen is then we say the probability of it happening is 1.

Complementary events are such that one of the events musthappen. Therefore the probability of one of a set of complementary events occurring is 1.

For instance : The probability that a fair coin when tossed will come down showing heads is 1/2, and that it will show tails is also 1/2.

The two events are complementary so the probability that the coin toss will result in either a heads or a tails is 1.

Similarly, the probability that a die when rolled will show a number 1, 2, 3, 4, 5 or 6 is 1 as all six events are complementary.

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Suppose there is an event A and the probability of A happening is Pr(A). Then the complementary event is that A does not happen or that "not-A" happens: this is often denoted by A'.

Then Pr(A') = 1 - Pr(A).

Suppose there is an event A and the probability of A happening is Pr(A). Then the complementary event is that A does not happen or that "not-A" happens: this is often denoted by A'.

Then Pr(A') = 1 - Pr(A).

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