craps question

what percent of the time that the dice are thrown is the point off?

meaning it is a come out roll

the fraction is 165/557 or 29.62%

https://wizardofodds.com/ask-the-wizard/craps/general/
last question on page

has been asked before
https://wizardofvegas.com/forum/gambling/craps/10716-what-percentage-of-rolls-are-come-out-rolls/

variance: 64680/310249 = 0.208477707

another example for 100 dice rolls
How many come out rolls can be expected?

100 * 29.62% = 29.62 (mean or average of many 100 roll sets)
100 * 0.208477707 = 20.8477707 (variance for 100 rolls)
one standard deviation is square root of variance = 4.57

we have 29.62 +/- 4.57 would be the 1SD range
and 3SD (13.70)
covers about 99.73% of the range between 43.3 and 15.9

actual probability of seeing 16 to 43 come out rolls per 100 rolls is 99.7856%