1. What is a Roulette Wheel Probability Calculator?

Definition: This calculator determines the probability of winning a bet in roulette based on the number of favorable outcomes versus total possible outcomes.

Purpose: It helps gamblers and probability enthusiasts understand their chances of winning different roulette bets.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P \) — Probability (0 to 1)
• \( N_f \) — Number of favorable outcomes
• \( N_t \) — Total number of possible outcomes

Explanation: The probability is calculated by dividing the number of winning outcomes by the total number of possible outcomes on the roulette wheel.

3. Roulette Wheel Basics

Details:

• European roulette has 37 pockets (0-36)
• American roulette has 38 pockets (0-36 plus 00)
• The house edge comes from the zero(s) on the wheel

4. Using the Calculator

Tips:

• For a single number bet: favorable = 1, total = 37 (European) or 38 (American)
• For red/black bet: favorable = 18, total = 37 or 38
• For dozen bet: favorable = 12, total = 37 or 38

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between European and American roulette probability?
A: American roulette has slightly worse odds due to the extra 00 pocket (38 total vs 37 in European).

Q2: How do I calculate odds for combined bets?
A: Add up all favorable outcomes. For example, betting on 2 numbers would have favorable = 2.

Q3: Why does the house always have an advantage?
A: Because the zero(s) aren't counted in most outside bets (red/black, odd/even, etc.).

Q4: What's the probability of hitting red in European roulette?
A: 18/37 ≈ 48.65% (18 red numbers out of 37 total pockets).

Q5: How does probability relate to payout odds?
A: Casinos pay less than true odds. For example, a single number pays 35:1 when the true odds are 36:1 (European).