When we talk about experimental probability, we’re looking at how likely something is to happen, based on what we see in an experiment. It can be a fun and helpful tool in Year 8 math. But it’s important to remember that there are some limits when we try to use it in real life.

Sample Size Matters
One big limit is how many times we do an experiment. For example, if you flip a coin only 10 times and get 7 heads, you might think the chance of getting heads is $P(\text{heads}) = \frac{7}{10} = 0.7$. But that’s not the true chance, which is actually $0.5$. When we don’t try enough times, we can get the wrong idea.

Randomness Can Trick Us
Another thing to think about is randomness. Let’s say you roll a six-sided die. If you roll it just a few times, some numbers might show up more often than others. This might make you think the die is unfair. But if you roll it a lot more times, the chances for each number will usually balance out to $1/6$.

Time Can Be an Issue
In real life, some experiments take a long time. For instance, figuring out how likely a certain type of weather is might need years of data. That can be hard to do in practice.

Unexpected Factors
Lastly, there can be surprises that change the results. Imagine playing a game where players pick colored marbles from a bag. If someone accidentally puts extra marbles in, the experimental probability won’t show what we really expected anymore.

So, while experimental probability is a neat idea, we have to be careful with its limits and always remember how we’re using it!