### Unveiling Coin Flip Scam with Python Statistics

## Table of Contents

- Introduction
- The Experiment on Instagram
- The Law of Large Numbers
- The Results of the Experiment
- The Probability of the Outcome
- Comparisons and Analysis
- Python and Statistics
- Simulating the Experiment
- Calculating the Probability
- Comparing the Results
- Conclusion

## Introduction

In this article, we will delve into an intriguing experiment that was conducted on Instagram. The experiment aimed to explore the concept of the law of large numbers by using statistics and coin flips. However, the results of the experiment turned out to be quite unexpected, raising questions and skepticism. Through the use of Python and statistical analysis, we will delve into the probability of this outcome and uncover some remarkable findings. So, let's dive right into the details and unveil the truth behind this puzzling experiment.

## 1. The Experiment on Instagram

The experiment on Instagram involved asking participants to flip a coin and choose the result. The intention was to create a video explaining the law of large numbers by examining the statistics and outcomes of these coin flips. However, the experiment didn't go as planned, and the story on Instagram didn't yield the expected results. This unforeseen turn of events sparked curiosity and led to further investigation.

## 2. The Law of Large Numbers

The law of large numbers states that if an experiment is performed repeatedly on a large scale, the average of the results will converge to the expected value. In the case of coin flips, if a sufficient number of flips are performed, the proportion of heads and tails should approach 50-50. This principle forms the basis of statistical analysis and probability.

## 3. The Results of the Experiment

The results obtained from the Instagram experiment were quite surprising. Out of the participants who flipped the coin and shared their results, the outcome was heavily skewed towards one side. Instead of the expected 50-50 distribution, the final numbers revealed a significant imbalance of 69% to 31%. This stark deviation from the anticipated results raised doubts and questioned the validity of the experiment.

## 4. The Probability of the Outcome

Upon analyzing the likelihood of obtaining such an outcome, skepticism grew. The probability of obtaining a distribution with a 69-31 split, given the expected 50-50 distribution, seemed highly unlikely. To delve deeper into the matter, we turn to Python and statistical analysis to calculate the probability and shed light on the truth behind these results.

## 5. Comparisons and Analysis

To put the results into perspective, we compare them with other probabilities and outcomes. The experiment's results were contrasted with a 50-50 poll conducted on Instagram, where participants had the option to choose between two options without knowing others' choices. This poll yielded a reasonably balanced outcome, with a distribution close to the expected 50-50 split. On the other hand, winning lottery jackpots and obtaining royal flushes in poker were explored to highlight the minute likelihood of the Instagram experiment's results.

## 6. Python and Statistics

To conduct a thorough analysis, we use the Python programming language in conjunction with statistical analysis. By leveraging the power of libraries like NumPy and SciPy, we can simulate the experiment and calculate the likelihood of the observed outcome. This allows us to gain a deeper understanding of the statistical significance associated with the experiment's results.

## 7. Simulating the Experiment

Using the NumPy library in Python, we can simulate the coin flip experiment on a larger scale. By specifying the number of flips desired, we can generate a distribution of heads and tails and assess its similarity to the Instagram experiment's results. Running this simulation multiple times confirms the expected 50-50 distribution, further highlighting the peculiarity of the original outcomes.

## 8. Calculating the Probability

To quantify the likelihood of obtaining the observed outcome, we turn to the SciPy library in Python. By utilizing the binomial probability mass function (PMF), we can calculate the probability of obtaining the specific result of 2332 heads out of a total of 33821 flips. The resulting probability is incredibly small, indicating an improbable outcome.

## 9. Comparing the Results

To provide a more relatable context, we compare the probability of the Instagram experiment's outcome with other notable probabilities. By examining the likelihood of winning lottery jackpots and obtaining royal flushes in poker, we establish a basis for comparison. These comparisons serve to emphasize the improbability of the observed result in the Instagram experiment.

## 10. Conclusion

In conclusion, the Instagram experiment yielded unexpected results that deviated significantly from the expected 50-50 distribution. Through the application of statistical analysis and Python programming, we uncovered the minuscule probability associated with such outcomes, leading to doubts and questioning among participants. The stark contrast between the observed results and other well-known probabilities further strengthens the skepticism surrounding the experiment. While it remains possible to achieve such outcomes, the odds are undeniably against it.