Probability can be represented as a decimal by dividing the number of favorable outcomes by the total number of equally likely outcomes, interpreting the result as a value from 0 to 1 inclusive. The decimal is equivalent to the probability’s fraction and percent forms and communicates likelihood, with 0 meaning impossible and 1 meaning certain; the scope is limited to familiar finite experiments and does not include advanced probability models or statistical inference.
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A probability can be written as a decimal by dividing:
The favorable outcomes are the outcomes you want. The total outcomes are all possible outcomes.
Example: What is the probability of rolling an even number on a fair six-sided die?
List the possible outcomes: . There are total outcomes.
Find the favorable outcomes. The even numbers are , so there are favorable outcomes.
Write the probability as a fraction:
Divide the numerator by the denominator:
So, the probability of rolling an even number is:
A probability is always between and . A probability of means an event is impossible, while a probability of means it is certain.
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