"Two fair dice are thrown and the one with a lower score is discarded. In case of a tie, either one of them is discarded. Compute the mean value of the remaining number."
I know how to calculate the expected mean which would be 7. I'm stuck on the "remaining value" part when the lower score die is discarded. How would I calculate the mean value of the remaining number? Any clarity is appreciated!
What has to be calculated here is just the maximum of the two dice. I don't see how to speed up the computation, either. Just get the distribution of the maximum number and you're good to go.