B Equation to approximate percent likelyhood of different sigma events

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An equation to approximate the percentage likelihood of different sigma events based on standard deviation values is sought, specifically for values like 1 sigma (33%) and 3 sigma (0.27%). The discussion emphasizes the need for an algebraic solution rather than a calculus-based approach. A reference to the Wikipedia page on the error function is suggested for potential formulas. The focus remains on finding a simple mathematical approximation for sigma probabilities. This inquiry highlights the importance of accessible statistical tools for understanding probability distributions.
jaydnul
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Hi!

I was wondering if there was an equation to plug in a standard deviation value and get back approximately the percent likely hood of getting that sigma (for example 1 sigma would be 33%, 3 sigma 0.27%, etc).

Just something that approximates it with algebra, no calculus

Thanks!
 
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