> by extracting log2(44) bits progressive out of a random number to choose from my blessed set of characters for passwords and it took some patience with the se

> by extracting log2(44) bits progressive out of a random number to choose from my blessed set of characters for passwords and it took some patience with the security team to verify that it was safe. It's safe but if you somehow depended on all the passwords having exactly equal probability, you'd be wrong (unless you're already using a random number from a limited range). Of course this is easily fixed by a range check on the random number and generating it again if it failed the check.