In probability experiments, we can learn about the Law of Large Numbers.

This law tells us that when we do an experiment many times, the results we get will get closer to what we expect.

Let’s break it down with a simple example involving a coin flip.

• Example: When you flip a coin:
  • The expected chance of getting heads is $50\%$, or you could think of it as 1 out of 2 times.
  • If you flip the coin just 10 times, you might get heads only $4$ times.

But what happens if you flip the coin 1,000 times?

• You will probably get heads around $500$ times!

This shows us that the more times we try something, the more our results start to match what we expect.

It helps us understand that with more trials, our results become more trustworthy and support the ideas behind probability!