[ \text{Luck Index} = \frac{150 - 100}{9.13} \approx \frac{50}{9.13} \approx 5.47 ]
You are not lucky. You are not cursed. You are a sample size. index of luck by chance
For a binomial distribution (success/failure), the standard deviation is calculated as: [ \sigma = \sqrt{n \times p \times (1-p)} ] Where (n=600), (p=\frac{1}{6}). [ \sigma = \sqrt{600 \times 0.1667 \times 0.8333} \approx \sqrt{83.33} \approx 9.13 ] [ \text{Luck Index} = \frac{150 - 100}{9
The formula is deceptively simple: