Even number = that number is added to your score
Odd number = that number subtracted from your score
What is the expected value of a single roll of the die, and how is it calculated?
Tell me, what is the average score of all the possible outcomes?Originally Posted by zoso
I'll show you...
note: $\displaystyle s_1$ is the amount of points you'll get when you roll a 1
average is:
$\displaystyle \frac{s_1+s_2+s_3+s_4+s_5+s_6}{6}=\frac{\neg1+2-3+4-5+6}{6}=\frac{3}{6}=\boxed{\frac{1}{2}}$
and that is the expected outcome for a single roll of the die. Yes I know it's impossible to get that number with a die, but that's the best math has to offer.