Probability Complement: Understanding the Opposite Side of Probability

What is the complement of an event in probability? How can we find the complement of a given probability? The complement of an event in probability is the opposite of the probability. To find the complement of a given probability, we subtract the probability of the event from 1.

In the field of probability, the complement of an event P(x) is defined as the event not occurring, and can be calculated as 1 - P(x). In simpler terms, it represents the probability of the event not happening.

For example, if the probability of event A (P(a)) is 0.20, then the complement of event A would be:

P(ā) = 1 - P(a)

= 1 - 0.20

= 0.80

Therefore, the complement of event A with a probability of 0.20 is 0.80. This calculation is based on the principle that the sum of the probabilities of all possible outcomes should equal 1.

This concept is important in understanding the full spectrum of probabilities. By knowing the complement, we can gain insights into the likelihood of events not happening and make more informed decisions based on probabilities.

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