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Coin Flipper

This interactive tool lets you explore the fascinating world of probability by simulating large numbers of coin flips.

Welcome to the Coin Flipper!

Simply enter the number of coins to be flipped in each trial and the total number of trials to run, then click Flip Coins to see the results.

By adjusting the inputs, you can observe how experimental results approach the theoretical distribution as the number of trials increases, illustrating key concepts in probability, randomness, and the law of large numbers.

The table displays each possible combination of UPs and DOWNs, along with the Theoretical Probability (based on mathematical calculations) and the Experimental Results (based on your simulated flips).

UPsDOWNsTheoretical (%)Experimental FrequencyExperimental (%)
0140.006%00.00%
1130.085%30.05%
2120.555%190.32%
3112.222%1552.58%
4106.11%3696.15%
5912.219%73412.23%
6818.329%1,09818.30%
7720.947%1,28321.38%
8618.329%1,11918.65%
9512.219%70711.78%
1046.11%3646.07%
1132.222%1071.78%
1220.555%380.63%
1310.085%40.07%
1400.006%00.00%

The chart visually compares these values, with blue bars representing the theoretical percentages and orange bars representing the experimental percentages.

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The data provided in charts referring to IFA Index Portfolios is hypothetical back-tested performance and is not actual client performance. Performance data for the IFA Index Portfolios is shown net of IFA's highest advisory fee and the underlying mutual fund expenses. IFA Indexes when shown individually do not reflect a deduction of advisory fees. None of the data reflects trading costs or taxes, which would have lowered performance by these costs. See more important disclosures at ifabt.com.
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