Suppose that you are given a pair of Sicherman dice.These are 2 dice that have different numbers on them.On the first die are the numbers 1,3,4,5,6 and 8; on the second die are the numbers 1,2,2,3,3 and 4.

a) Show that the probability of rolling a 7 with these dice is the same as with a standard pair of dice.Make sure to show all of your work for full marks.

b) Can you make any other observations about these dice and probability?