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
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 (1-p).
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 :)
When an event has a probability, p, it means that p represents the likelihood or chance of that event occurring. The value of p can vary between 0 and 1, inclusive.
If p=0, it implies that the event has no chance of occurring, making it impossible.
If p=1, it indicates that the event is certain to happen, making it a certainty.
For any other value between 0 and 1, p represents the relative likelihood of the event occurring. As p gets closer to 0, the event becomes increasingly unlikely, while as p gets closer to 1, the event becomes increasingly likely.
To calculate the probability that the event will not occur, you need to subtract the probability of the event occurring from 1.
Probability that the event will not occur = 1 - Probability of the event occurring
For example, if the probability of an event occurring is p = 0.4, then the probability that the event will not occur is:
Probability that the event will not occur = 1 - Probability of the event occurring
= 1 - 0.4
= 0.6
Therefore, in this case, the probability that the event will not occur is 0.6 or 60%.