1. What is Virtual Dice Roll?

A virtual dice roll simulates the random outcome of rolling physical dice. This calculator generates random numbers within the specified range, mimicking the probability distribution of real dice.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( sides \) — Number of sides on the die (2-100)
• \( random \) — PHP's random number generator function

Explanation: The function generates a uniformly distributed random integer between 1 and the number of sides.

3. Probability Distribution

Details: Each possible outcome has an equal probability of 1/n, where n is the number of sides. For a standard 6-sided die, each number (1-6) has a 16.67% chance.

4. Using the Calculator

Tips: Enter the number of sides (2-100) and how many times to roll (1-20). The calculator will display each result.

5. Frequently Asked Questions (FAQ)

Q1: Is this truly random?
A: It uses PHP's pseudo-random number generator which is sufficient for most purposes but not cryptographically secure.

Q2: Can I simulate polyhedral dice?
A: Yes! Common RPG dice (d4, d6, d8, d10, d12, d20, d100) can all be simulated by entering the appropriate number of sides.

Q3: What's the probability of rolling a specific number?
A: For an n-sided die, the probability is 1/n for each possible outcome.

Q4: Can I roll multiple dice at once?
A: Yes, use the "Number of Rolls" field to roll multiple dice of the same type.

Q5: What's the most common result?
A: For a fair die, all results are equally likely. The distribution becomes more uniform with more rolls.