Can probability be greater than 1?

No. Probability ranges from 0 to 1. A probability of 1 means the event is certain, and 0 means it is impossible.

What is the difference between theoretical and experimental probability?

Theoretical probability is based on mathematical reasoning. Experimental probability is based on actual repeated trials.

Probability – Formula, Examples & Practice

Probability

Formula

P(Event) = (Number of favorable outcomes) / (Total number of outcomes)

What is Probability?

Probability measures how likely an event is to occur. It ranges from 0 (impossible) to 1 (certain). The probability of an event equals the number of favorable outcomes divided by the total number of possible outcomes.

Variables

P
P — Probability of the event

Worked Examples

Example 1

What is the probability of rolling a 4 on a standard die?

Solution:

P = 1/6 ≈ 0.167 (one favorable outcome, six total outcomes)

Example 2

What is the probability of drawing a King from a standard deck?

Solution:

P = 4/52 = 1/13 ≈ 0.077

Frequently Asked Questions

Related Formulas

Combinations

C(n, r) = n! / (r! × (n−r)!)

Permutations

P(n, r) = n! / (n−r)!

Binomial Probability

P(X = k) = C(n, k) × pᵏ × (1−p)ⁿ⁻ᵏ

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