IFA Index Calculator
Retirement Calculator
Target Date Calculator
Retirement Income
College Planning
T-Statistic Calculator
401(k) Calculator
Net Worth
Net Income
Roth IRA Conversion
Fee Calculator
Multi Funds Calculator
MENU
Home
Risk CapacitySurvey
FinPlanSurveys
Wealth Management
Retirement Plans
Institutional
Financial Calculators ▾
Open an Account
Schedule a Meeting
IFA App
Videos ▾
Articles
Charts
Investor Education ▾
IndexPortfolios ▾
FundOptions
Resources▾
About Us ▾
Store
GaltonBoard/Coins ▾
Taxes
Back-testing Disclosures
Index Descriptions
Glossary
Form CRSCoin 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).
| UPs | DOWNs | Theoretical (%) | Experimental Frequency | Experimental (%) |
|---|---|---|---|---|
| 0 | 14 | 0.006% | 0 | 0.00% |
| 1 | 13 | 0.085% | 11 | 0.18% |
| 2 | 12 | 0.555% | 25 | 0.42% |
| 3 | 11 | 2.222% | 130 | 2.17% |
| 4 | 10 | 6.11% | 397 | 6.62% |
| 5 | 9 | 12.219% | 790 | 13.17% |
| 6 | 8 | 18.329% | 1,160 | 19.33% |
| 7 | 7 | 20.947% | 1,206 | 20.10% |
| 8 | 6 | 18.329% | 1,063 | 17.72% |
| 9 | 5 | 12.219% | 713 | 11.88% |
| 10 | 4 | 6.11% | 348 | 5.80% |
| 11 | 3 | 2.222% | 124 | 2.07% |
| 12 | 2 | 0.555% | 28 | 0.47% |
| 13 | 1 | 0.085% | 5 | 0.08% |
| 14 | 0 | 0.006% | 0 | 0.00% |
The chart visually compares these values, with blue bars representing the theoretical percentages and orange bars representing the experimental percentages.
HomeTaxesAbout Us
888-643-3133
Contact Us
Newsletter Subscribe
eMoney
IFA Apps
Index Funds Book on Kindle
Index Funds Audiobook
Careers
Facebook
X
LinkedIn
InstagramVideos
YoutubeGlossary
TermsDisclosuresIndex DescriptionsForm CRS 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.
© 1999-2025 Index Fund Advisors, Inc. All Rights Reserved | 19200 Von Karman Ave. Suite 150 Irvine, CA 92612 | 888-643-3133