Definition Law of large numbers

The frequency with which a random event occurs will tend to become closer to its expected value with each repetition of the random experiment. This statistical law is called "the law of large numbers."

For example, when a coin is tossed, the random events are heads or tails. The probability that the coin will fall heads up is 50 percent. The more frequently the coin is tossed, the more likely it is that the event "heads" will occur in 50% of all attempts. If the coin is tossed 10,000 times, the deviation rate will be several decimal places.  

Please note that the definitions in our statistics encyclopedia are simplified explanations of terms. Our goal is to make the definitions accessible for a broad audience; thus it is possible that some definitions do not adhere entirely to scientific standards.