Probability Simulator

Improved Probability Simulator

Verification

Coin Flip Simulator

Number of flips:

Coin bias (0-1, 0.5 for fair coin):

Dice Roll Simulator

Number of rolls:

Number of sides on dice:

How to use this simulator:

1. Choose the number of coin flips or dice rolls you want to simulate.
2. For coin flips, you can also set a bias (0.5 is a fair coin).
3. For dice rolls, you can choose the number of sides on the dice.
4. Click the "Simulate" button to run the simulation.
5. View the results in both text and chart format.

Note: This simulator uses a pseudo-random number generator and is intended for educational purposes only. For critical applications or research, please use cryptographically secure random number generators.

How to use the Improved Probability Simulator:

1. Verify the CAPTCHA:

   - Enter the code shown in the image.

   - Click "Verify" to access the simulator.

2. Coin Flip Simulator:

   - Enter the number of flips (1-10000).

   - Set the coin bias (0-1, where 0.5 is a fair coin).

   - Click "Simulate Coin Flips".

   - View results as text and in a pie chart.

3. Dice Roll Simulator:

   - Enter the number of rolls (1-10000).

   - Set the number of sides on the dice (2-20).

   - Click "Simulate Dice Rolls".

   - View results as text and in a bar chart.

4. Interpret Results:

   - Text results show the count and percentage for each outcome.

   - Charts provide a visual representation of the distribution.

Note: This simulator uses pseudo-random number generation and is intended for educational purposes only.

These additions would enhance the educational value and versatility of the Probability Simulator.