Let's say you have 24 people who are tossing a penny into a can. Each toss has a straight 15% chance of success. How do I figure out what percentage chance for each number, from 0 to 24, has of being the total number of successful throws on average?
Basically I'd like to see that there's a 2% chance that 0 throws are successful (made up number!), a 5.5% chance (made up number!!) that 4 throws are successful, down to a 0.0001% chance (made up number!!!) that all 24 throws are successful. And is there a way to mathematically 'phrase' that in such a way as to say "the likelihood is that between 3 and 5 throws are successful, on average"?
Any help would be appreciated. I'm not particularly proficient with math, so any other ways to consider this data would also be interesting!
Thanks for your help.