I am having A LOT OF TROUBLE with this problem. Honestly, I did check my sources before coming here and I still cannot figure it out. =(
Here it is:
If each card has same points as their number (Ace is 1 point, 2 is 2 points, 3 is 3 points), then Jack, Queen, King each is 10 points. What's the expected value for the total of the three highest cards out of six dealt cards?
What's the expected value for the three highest cards out of eight dealt cards?
I want to find the theoretical expected value for the above 2 questions. I don't know where to start.
My second question is related to the above as well. Say in this game (with the rules described above) the opponent is dealt 4 cards. and you are dealt the number of cards according to the sum of the 2 dice rolled (a sum of 4 gives 4 cards ...and so on. doubles give 7 cards). How many cards do you need to be dealt before you have an advantage to win over the opponent? Can someone do this in a theoretical approach?