Probability Calculator
Calculate probabilities for various scenarios with visualizations
Single Event Probability
Example: Probability of rolling a 3 on a fair die
Favorable outcomes: 1 (only the number 3)
Total outcomes: 6 (numbers 1 through 6)
Probability Rules & Formulas
Basic Rules
0 ≤ P(A) ≤ 1
P(S) = 1
P(∅) = 0
S: Sample Space, ∅: Empty Set
Complement Rule
P(A') = 1 - P(A)
A': Complement of A
Addition Rule
P(A∪B) = P(A) + P(B) - P(A∩B)
For mutually exclusive: P(A∩B) = 0
Multiplication Rule
P(A∩B) = P(A) × P(B|A)
For independent: P(A∩B) = P(A) × P(B)
Probability measures the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain).