Question

Identify one reason why the complementation rule is useful.

Short answer

The chance of any event occurring can be simply calculated by subtracting the likelihood of the event not occurring from 1.

Step-by-step solution

Step 1. Given information.

The given statement is:

Identify one reason why the complementation rule is useful.

Step 2. Explanation.

We know from the concept of probability that any occurrence should have a probability that is greater than 0 but less than 1.

Any event's probability can be written as: $P\left(E\right)$

Then$P\left(E\text{'}\right)=1-P\left(E\right)$will denote the probability that the event will not occur.

The complementary rule of probability is the name given to this rule.

It is sometimes easier to compute the probability of not occurring any event for a large number of trials than it is to determine the chance of occurring any event.

By subtracting the likelihood of the event not occurring from 1, one can simply calculate the probability of the event occurring.