Posted by Jope on Tuesday, August 26, 2008 at 10:07pm.
Suppose an event has a probability of p. What can you say about the value of p? What is the probability that the event will not occur? Explain

math  Big Kahuna, Tuesday, August 26, 2008 at 11:55pm
We can say that the value of p is bounded above by 1 and below by 0. An event can not have greater than a 100% chance of occurring, nor can it have less than a 0% chance of occurring, hence its boundary conditions of [0,1].
Given this, there are two possible outcomes. Occurring or not occurring. Since we know the probability of the event occurring is p, which is bounded above by 1; the probability of the event not occurring must be (1p).
Alternatively, for lack of a better way of putting it, p can not occur and not occur at the same time. So the probabilities of p occurring and not occurring must add up to one.
Good luck, hope that helps :)
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