Law of large numbers/Proof
The Law of Large Numbers is an idea from math. It says that if you do something a lot of times, the average of all the times you did it will get closer and closer to what you expect.
Let's say you flip a coin 10 times. You expect it to come up heads about 5 times and tails about 5 times. You might not get exactly 5 heads and 5 tails, but if you flipped it 100 or 1000 times you would probably get closer to 5 heads and 5 tails. That's the Law of Large Numbers! The more times you flip the coin, the closer it will get to the average result you expect.
Proof of this law is a little more complicated. It involves things like probability and math equations. But basically, it proves that when you do something a lot of times, the average of all the times you did it will be close to what you expect.
Let's say you flip a coin 10 times. You expect it to come up heads about 5 times and tails about 5 times. You might not get exactly 5 heads and 5 tails, but if you flipped it 100 or 1000 times you would probably get closer to 5 heads and 5 tails. That's the Law of Large Numbers! The more times you flip the coin, the closer it will get to the average result you expect.
Proof of this law is a little more complicated. It involves things like probability and math equations. But basically, it proves that when you do something a lot of times, the average of all the times you did it will be close to what you expect.