I have weighted a 6-sided die so that 6 never comes up, 1 is twice as likely to come up as any of the other four sides (excluding 6), and the other four sides are equally likely to come up. Let S be the sample space for the experiment of rolling my rigged die.

a) Construct a probability model for the experiment of rolling the rigged die. Show your work please step by step.

b) True or false: In the experiment of rolling my rigged die, for any event E,

P (E) = n (E) / n (S) .

Justify your answer with one sentence