Probability Question

[lcpl rolla]

I was doing some research and I couldn't find a conclusive answer on the following question.

On a game of chance, a dice / random number being picked (1-100) does the last number(s) have any affect on the next number being picked / rolled.

Explain:
Dice rolled: 92
Dice rolled: 91
Dice rolled: 87
Dice rolled: 89

Is there a better probability of a lower number being rolled Or is it similar to flipping a coin where no matter what the last flip of the coin has no affect on the next flip because its always going to be 50/50.

I can see how no matter what the last roll will not affect the next roll and it will always remain that the next number to be rolled is a 1% chance (1-100).

But at the same time knowing how trends and statistics go since four high numbers where rolled, and since it always is 1% chance to roll a number, the rolls should even out (to add lower rolls) so there should actually be a higher chance to roll a lower number.

 

No, previous rolls of a die do not affect later rolls; this is a concept known as independence. The next roll has the same chance of being a 100 as it does of being a 1.

However, over time, with a very large number of trials, we would expect the average of all the rolls to approach the expected value (for a 100 sided die, 50.5) as per the law of large numbers.

 

This section is for intelligent discussion and debates, not math questions.

As well, answered.