Probability Calculator
Calculate the probability of single or multiple events. Find combinations and permutations, and determine the likelihood of independent and dependent events occurring.
Probability: 0%
| Probability (Decimal) | 0 |
|---|---|
| Probability (Fraction) | 0/1 |
| Odds For | 0:0 |
| Odds Against | 0:0 |
Probability: 0%
| Probability (Decimal) | 0 |
|---|---|
| Probability (Fraction) | 0/1 |
| Calculation Type | Both Events Occurring |
Result: 0
| Calculation Type | Combination |
|---|---|
| Formula | nCr = n! / (r! × (n-r)!) |
| Total Possible | 0 |
About Probability Calculator
Probability is a measure of the likelihood that an event will occur. It is quantified as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur.
Single Event Probability
The probability of a single event can be calculated using the formula:
P(A) = Number of favorable outcomes / Total number of possible outcomes
For example, the probability of rolling a 3 on a 6-sided die is 1/6 ≈ 0.1667 or 16.67%.
Multiple Events Probability
For multiple events, the calculation depends on whether the events are independent or dependent:
- Independent Events: The outcome of one event does not affect the other (e.g., flipping two coins).
- Dependent Events: The outcome of one event affects the other (e.g., drawing two cards from a deck without replacement).
Combinations and Permutations
Combinations and permutations are ways to count possible arrangements:
- Combination (nCr): Selection of items where order doesn't matter.
- Permutation (nPr): Arrangement of items where order matters.
The formulas are:
Combination: nCr = n! / (r! × (n-r)!)
Permutation: nPr = n! / (n-r)!