This is where you are wrong, and this is a gamblers fallacy. That answer specifically "what is the probability of getting anywhere between a single drop and 1000 drops".
So probability of success as a percentage of 1. Since you can have anywhere from 1 to 1000 successes in 1000 trials it calculates and adds every chance from getting 1 success to all 1000 being successes. 0 -> whatever number of successes you want. So what a binomial distribution does is it takes the probability of something happening and calculates it over how many trials with a varying amount of success. You know that if it's a 1 in 2 chance that doesn't mean a 100% chance at 2 attempts. So for probabilities that are dice rolls like item drops in any videogames you use a binomial distribution.
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