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Yesterday, 64 students used the online simulator to flip 3 pennies.
So far, they experimented 3,009 times.
Each experiment is called a trial.
So they ran 3,009 trials of our experiment where we flipped a penny 3 times.
Wow! That's a lot of trials!
Our experimental results are almost the same as the theoretical results!
Our experimental results are almost the same as the theoretical results!
This is a big deal.
This is a big deal.
This is a big enough deal for mathematicians to name this event: The Law of Large Numbers.
This is a big enough deal for mathematicians to name this event: The Law of Large Numbers.
The Law of Large Numbers states that:
The Law of Large Numbers states that:
When we do an experiment a large number of times the average result will be very close to the expected result.
In other words: in the long run random events tend to average out at the expected value.
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