# math

posted by .

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 -

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 :)

## Similar Questions

1. ### Math

In an experiment, the probability of the event E is known to be .4. Also the probability of the event F is .8,and the probability of E∪F is 1. i) Compute the probability of these events: P(E∩F)= P(E-F)= ii) Suppose the …
2. ### Statistics

One event A is _________________ of another event B if the probabilty of event A has occurred given event B is the same as the probability that A will occur with no knowledge of B. disjoint mutually exclusive dependent independent
3. ### Help Math

Events A and B are mutually exclusive. The probability of event A occurring is0.15; the probability of event B occurring is 0.45; what is the probability that A and B will occur?
4. ### Statistics

Events and are mutually exclusive. Suppose event occurs with probability and event occurs with probability . Compute the probability that occurs or does not occur (or both). Compute the probability that either occurs without occurring …
5. ### statistics - conditional probability

Event A has probability 0.9 of occurring. Event B has 0.2 chance of occurring if, and only if, event A has occurred. What is the overall probability that event B will occur?
6. ### statistics - conditional probability

Event A has probability 0.9 of occurring. Event B has 0.2 chance of occurring if, and only if, event A has occurred. What is the overall probability that event B will occur?
7. ### Statistics

1. A human gene carries a certain disease from a mother to her child with a probability rate of 0.58. That is, there is a 58% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has five children. …
8. ### math

Events A and B are dependent events. The probability that event A occurs is 20%. The probability that events A and B both occur is 8%. What is the probability that event B occurs given that event A occurs?
9. ### math

Events A and B are dependent events. The probability that event A occurs is 20%. The probability that events A and B both occur is 8%. What is the probability that event B occurs given that event A occurs?
10. ### math

Events A and B are dependent events. The probability that event A occurs is 20%. The probability that events A and B both occur is 8%. What is the probability that event B occurs given that event A occurs?

More Similar Questions