How to measure "luckiness"?

[TomCollins]

I'm trying to measure luckiness between several independent events. I found a good way of determining luck on a series event that has a probability of p.
Suppose p(n,x,w) = The probability of having x wins in n trials with the odds of winning an individual trial as w. I define the "luck" of having z wins out of n trials is SUM(p(n,i,w),i=0 to x-1) + .5 * p(n,z,w).

So for flipping a fair coin twice,
Luck(0,2,.5) = .125
Luck(1,1,.5) = .5
Luck(2,0,.5) = .875

And lets suppose I have another event where i win if I roll a 5 or a 6 on a dice. For 2 trials:
Luck(0,2,.33) = .2224
Luck(1,1,.33) = .6660
Luck(2,0,.33) = .9436



Now suppose I roll a dice twice and win both times, and flip a coin and lose both times. What would be the best way to determine my "luck" of the 2 combined events?