mkendall
August 19th, 2010, 10:39 AM
The expectation of a fair 6-sided die is 3.5 and the expectation of two 6-sided dice is 7. and 10.5 for three dice. Simple enough.
If the number of dice rolled is determined by the result of a roll on a 6-sided die -- that is, if you roll a 5, you then roll five 6-sided dice -- is the expectation 3.5^2, or 12.25?
In general, would the expectation be E(Y)*E(X) for a Y-sided die roll's number of X-sided dice?
If the number of dice rolled is determined by the result of a roll on a 6-sided die -- that is, if you roll a 5, you then roll five 6-sided dice -- is the expectation 3.5^2, or 12.25?
In general, would the expectation be E(Y)*E(X) for a Y-sided die roll's number of X-sided dice?