In: Statistics and Probability
Why is the Max probability equal to 1
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.