Experiments in probability are activities that lead to different results.

When we talk about an outcome, we mean a specific result that comes from an experiment.

A sample space is just a fancy way of saying all the possible results we can get.

Key Definitions:

• Experiment: This is an action where we don't know what will happen (like rolling a die).

• Outcome: This is the result of our experiment (for example, if we roll a 3).

• Sample Space (S): This is the list of all possible outcomes (so for a die, $S = \{1, 2, 3, 4, 5, 6\}$).

Statistics in Probability:

To find the probability of getting a certain outcome, we can use this formula:

$P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes in sample space}}$

For example, if we want to know the chance of rolling a 4 on a die, we can use the formula.

The probability would be $P(4) = \frac{1}{6}$.

This means you have a 1 in 6 chance of rolling a 4!