Compute |S|,|E|, andP(E)

Question

A 17-sided die is one with 17 faces (instead of a normal die with 6 faces). Suppose two 17-sided dice are rolled at the same time, one green and one red. Let S be the sample space for rolling two such dice and E be the event where the top value showing on the green die is greater than the top value showing on the red die. Compute |S|, |E|, and P(E) (probability of event E).

|S| =

|E| =

P(E) =

Answer 1

|S| = Green: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17

Red: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17

|E| = Green: 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16, 17 Can't have the lowest number

Red" 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16 Can't have the highest number

P(S) =1/17, 1/17 = 1/289 - All numbers possible on each die

P(E) = 1/16, 1/16 = 1/256 - Green die cannot be the lowest number.

Red die cannot be the highest number.