Question

In: Statistics and Probability

Why is the Max probability equal to 1

Why is the Max probability equal to 1

Solutions

Expert Solution

The probability of an event will not be less than 0. This is because 0 is impossible (sure that something will not happen). The probability of an event will not be more than 1. This is because 1 is certain that something will happen.
The highest possible probability an outcome might have is 1. If P(event)=1, the even does happen. The sum of all the probabilities for an experiment is 1.
probabilities must satisfy three general rules:
The probability of the sample space (the collection of all possible outcomes) is equal to 1. If you have two outcomes that can't happen at the same time, then the probability that either outcome occurs is the sum of the probabilities of the individual outcomes.
Statistically, the probability that an event will occur is expressed as a number between 0 and 1. Notationally, the probability of event A is represented by P(A). If P(A) equals zero, event A will almost definitely not occur.If P(A) is close to one, there is a strong chance that event A will occur.


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