Experimental Probability

Your browser does not support the canvas element. Experimental Probability Definition

Experimental probability is probability that is determined on the basis of the results of an experiment repeated many times.

Theoretical probability is probability that is determined on the basis of reasoning.

Probability is a value between (and including) zero and one.

If P(E) represents the probability of an event E, then:

• P(E) = 0 if and only if E is an impossible event.
• P(E) = 1 if and only if E is a certain event.
• 0 ≤ P(E) ≤ 1.
• Given the two events "A" and "B", P(A) > P(B) if and only if event "A" is more likely to occur then event "B".

If n(S) represents the number of times an experiment is executed, and n(E) represents the number of times event "E" occurs, then in this context P(E) represents the experimental probability that event E will occur and is given by:

Demonstration

The more times the die is tossed, the closer the values of the experimental probabilities get to the values of the theoretical probabilities (of getting a chosen numeral).

Image only

Instructions text as in global.js Your browser does not support the canvas element. Demonstration

The more times the spinner is spun, the closer the values of the experimental probabilities get to the values of the theoretical probabilities (of landing in each sector).

Image only

Instructions text as in global.js Your browser does not support the canvas element.