Final HW problem 2

Damon Gang

2. Problem set 5 exercise 11:

Number cards 1 to 14. Draw and replace a card. E1 is draw a card on first trial, E2 is draw a card on second trial.

Make a rectangular array of the outcomes for E1xE2:

This is just the Cartesian product {1,2,3,4,5,6,7,8,9,10,11,12,13,14}x{1,2,3,4,5,6,7,8,9,10,11,12,13,14}.

Develop a strategy for finding the number of elements in E1xE2:

We partition the grid as above so we get 100+40+40+16 or 196...which completes the problem.