Probability for Equally Likely Outcomes Calculator

The outcomes of an experiment are equally likely to occur when the probability of each outcome is equal.
For any sample space with N equally likely outcomes, we assign the probability $\frac{1}{\mathrm{N}}$ to each outcome.

Examples of experiments with equally likely outcomes are:

• Draw a random sample of size n from a population or urn. The assumption that the sample is drawn at random means that all samples of size n have an equal chance of being chosen (much of statistical analysis depends on the assumption that samples are chosen randomly).
• Flip a fair coin n times and observe the sequence of heads an tails that results.
• Roll n dice, die 1, die 2, die 3, . . . , die n, and observe the ordered sequence of numbers on the uppermost faces.