Quote:
Originally Posted by whosnext
I think what follows is correct but it's been a long time since I dealt with sampling without replacement problems. I think you can simply calculate the average rank and then multiply by 5 to get the expected value of the sum of the ranks of 5 randomly chosen cards without replacement.
Since there are the same number of cards of each rank (Ace-King), we can simply calculate the average of the following numbers: {1,2,3,4,5,6,7,8,9,10,10,10,10} which is 85/13.
Then multiply by 5 to get (5*85/13) or 425/13 which is what statmanhal posted above to two decimal places.
You don't think it behooves you to make clear that your method and the logic behind it does not require the "without"?