Law of Large Numbers
The law of large numbers states that if a chance experiment is repeated
- many times,
- independently, and
- under the same conditions,
then the proportion of times that an event occurs gets closer and closer to the theoretical probability of that event.
As you roll a die repeatedly, the proportion of times you roll a 5 gets closer to 1/6.
Remark: The law of large numbers is why we can use simulations to approximate probability distributions.