Question

The probability that an event will occur is \(0.4 .\) Is it more likely that the event will occur, or is it more likely that the event will \(n o t\) occur?

Short answer

Yes, it is more likely that the event will not occur. The probability of the event not occurring is \(0.6\), which is greater than the probability of the event occurring (\(0.4\)).

Step-by-step solution

Understanding the definition of probability

The probability of an event is a measure of the likelihood of the event occurring. The sum of the probabilities of all possible outcomes is 1.

Calculate the probability of non-occurrence

To find the probability that the event does not occur, subtract the probability of the event occurring (\(0.4\)) from 1. This is done because the sum of the probabilities of an event occurring and not occurring must add up to 1. So, the calculation will be \(1 - 0.4 = 0.6\).

Comparison between event occurrence and non-occurrence

Compare the calculated probabilities. If the probability of non-occurrence (\(0.6\)) is greater than the probability of occurrence (\(0.4\)), then it is more likely that the event will not occur.