Basic Probability Statistics Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

easy
A fair six-sided die is rolled. What is the probability of rolling an even number?

Solution

  1. 1
    Step 1: Even outcomes: {2, 4, 6} — that is 3 outcomes.
  2. 2
    Step 2: Total outcomes: 6.
  3. 3
    Step 3: P(even)=36=12P(\text{even}) = \frac{3}{6} = \frac{1}{2}.

Answer

12\frac{1}{2}
When all outcomes are equally likely, we count the favourable outcomes and divide by the total. Rolling a die is a classic equally-likely-outcomes scenario.

About Basic Probability

Probability is the measure of how likely an event is to occur, expressed as a number between 0 (impossible) and 1 (certain). It is calculated as the ratio of favorable outcomes to total possible outcomes when all outcomes are equally likely.

Learn more about Basic Probability →

More Basic Probability Examples

Example 1 easy

A bag contains 3 red, 5 blue, and 2 green marbles. What is the probability of drawing a blue marble?

Example 3 easy

A spinner has 8 equal sections numbered 1–8. What is the probability of landing on a number greater

Example 4 easy

A card numbered 1 through 10 is chosen at random. What is the probability that the number is prime?

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