So if you continued to play this game many times
you would average losing 
per game.

That's called the "expectation", or for this
problem, they call it "expected payoff", although
it amounts to an expected pay-OUT, not payOFF!

To find the standard deviation we will use the 
shortcut formula, which is why we need the far 
right column above.  First we find the
variance:



Then to find the standard deviation, we take the
square root of the variance:



Edwin