Probability Formula:
Probability for a single die roll outcome.
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The probability of rolling a specific number on a standard six-sided die is always 1/6 (approximately 16.67%). This assumes a fair die where each outcome has equal probability.
The calculator uses the basic probability formula:
Where:
Explanation: For a fair six-sided die, each face has exactly the same probability of landing face up.
Details: Understanding dice probabilities is fundamental in probability theory, game design, and statistical analysis. It forms the basis for more complex probability calculations.
Tips: Simply select the desired outcome from the dropdown menu and click "Calculate" to see the probability of rolling that specific number.
Q1: Does this work for loaded dice?
A: No, this calculator assumes a fair die. Loaded dice would have different probabilities for each outcome.
Q2: What about multiple dice?
A: For multiple dice, probabilities become more complex. This calculator only handles single die rolls.
Q3: Are all dice six-sided?
A: No, there are many dice types (d4, d8, d10, d20, etc.), but this calculator is for standard six-sided dice.
Q4: How does this relate to expected value?
A: The expected value for a single die roll is 3.5, which is the average of all possible outcomes.
Q5: Can probability be greater than 1/6 for a fair die?
A: No, for a fair six-sided die, each outcome has exactly 1/6 probability.