Why, when you conduct more probability experiments, does the experimental probability get closer to the theoretical probability the more you do it?

mikeBarr81

It is to do with the number of different possible outcomes. The more experiments you perform the more possible outcomes there are. However, more of the outcomes are equal to the theoretical outcome than to any other outcome. There are simply more ways to get that outcome than any other outcome. Take a dice as an example. If you have one dice you have a 1/6 chance of getting any of the numbers. There is no way to tell what number will come up. If you have 2 dice however, you have very little chance of scoring 2 and a much bigger chance of scoring a 7. This is because there is only one way to score a 2 (1 + 1), but there are many ways to score a 7 (6+1 5+2 4+3 3+4 2+5 1+6). If you were to throw a billion dice the score you get is almost certain, and there is very little chance of getting anything else. Oct 06 04, 4:28 PM

gmackematix

The following might help: http://en.wikipedia.org/wiki/Law_of_averages Oct 06 04, 7:28 PM