There are two players, player with data set and elements and player with data set and elements . The arithmetic mean of each data set is 10 and 20, respectively.
A "game" is played in which each is compared to its corresponding with the same base. If the element from set is less than its corresponding element from set , then player is awarded 1 point and visa versa with player .
What is the probability that player has more points than player
You may manipulate the following or exclude them if they are not necessary. This is to either a) make this problem easier, or b) to make the problem possible.
A) The range of the data in both sets. (Make this if possible)
B) The number of elements in each set. Notes:
• The number of elements in sets and must be the same
• The number of elements in set determines the number of matches.
• I don't think the number of elements matters, but it might