Consider a die constructed so that outcomes of 4, 5, 2, and 3 are equally likely, a 6 is four times as likely as a 3, and a 1 is four times as likely as a 6.

Question

(1) What is the value of w4?

(2) What is the value of w6?

(3) What is the value of w1?

Answer 1

Hi Jacob!  Remember that the sum of all the different w's has to equal 1.  If 2, 3, 4, and 5 are all "x", how would you represent 6 (w6)?  And then 1 (w1)?  Once you represent the relative weights, you can solve for the values of w.