The geometric distribution might sound very tricky but it's actually very simple. Imagine you have a magical box full of candy. Every time you reach into the box, you have a chance of grabbing a piece of candy. The chance of getting a piece of candy is called the "success rate". So if the success rate is 1/4 (which means for every 4 times you reach into the box, you'll get a piece of candy), then your probability of success is 1/4.
The geometric distribution helps us figure out the probability of getting a certain number of successes in a row. For example, if you keep reaching into the box until you get 2 pieces of candy, what are the chances that you'll need to reach in the box 5 times before you get 2 pieces of candy?
The geometric distribution uses a formula to calculate the probability of needing to try a certain number of times before getting a certain number of successes. It looks like this: P(X=k) = (1-p)^(k-1) * p.
But don't worry about memorizing that formula right now. Just remember that the geometric distribution helps us figure out the probability of getting a certain number of successes in a row with a known success rate.