Hello, I need the help of someone that is good at math to help me figure the odds on a gambling machine I want to build. So here's the breakdown, there are 4 droppers (9 random slots). Each has a 4 out of 9 chance of dropping the correct item and all 4 have the drop the correct item at the same time. So what are the odds that all 4 droppers will drop the winning item? If you can give me the equation on how to figure this that would be great in case I want to change up the numbers. Thanks
Assuming all droppers have the 9 slots filled. It's a combination of 4 different odds, so you can multiply them 4/9 odds x 4/9 odds x 4/9 odds x 4/9 odds That'll give you a 256/6561 odd, which is close to 3.9%