Hey kiddo, do you like surprises? Compound distribution is like getting a surprise gift with another surprise gift inside!
You know how sometimes we need to count how many times something happens? Like, how many times we roll a dice until we get a certain number? That's called a distribution. But sometimes, counting just once doesn't give us the whole picture. We need to count multiple things happening together. That's where compound distributions come in.
Imagine opening a gift box filled with smaller gift boxes inside. Each smaller box has a different surprise toy for you. The big gift box is like the overall distribution, and the smaller boxes inside are like the compound distributions.
Compound distribution happens when we count more than one thing happening together. For example, what's the chance of rolling a six on a dice twice in a row? The probability of getting a six is 1/6. But the probability of getting it twice in a row is a compound distribution because we're counting two things happening together. That probability is 1/6 times 1/6, which equals 1/36.
So, compound distribution is like counting more than one thing happening at the same time. It's like getting a surprise gift with another surprise gift inside!