1. What is the Virtual Dice Roller?

The Virtual Dice Roller simulates rolling physical dice using a random number generator. It's useful for games, probability experiments, or any situation requiring random number generation.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \text{sides} \) — Number of sides on the die (minimum 2)
• \( \text{random} \) — PHP's rand() function that generates a random integer

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

3. Common Dice Types

Standard Dice:

• d4 - 4-sided die (pyramid shape)
• d6 - Standard cube die (most common)
• d8 - 8-sided die
• d10 - 10-sided die
• d12 - 12-sided die
• d20 - 20-sided die (used in many RPGs)
• d100 - Typically simulated with two d10s

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 and the total sum for multiple rolls.

5. Frequently Asked Questions (FAQ)

Q1: How random are the results?
A: The results use PHP's pseudo-random number generator which is sufficient for most gaming purposes but not for cryptographic security.

Q2: Can I simulate percentile dice?
A: Yes, either roll a d100 or roll two d10s (one as tens digit, one as units).

Q3: What's the probability distribution?
A: Each face has an equal probability (uniform distribution). For a d6, each number has 1/6 chance.

Q4: Can I roll multiple dice types at once?
A: Currently the calculator only handles one die type at a time, but you can make multiple calculations.

Q5: How can I use this for RPG games?
A: You can simulate any standard RPG dice rolls (d20 for attacks, d6 for damage, etc.) and even create custom dice for special game mechanics.