dice & Markov processes

1. Consider a 3-sided die with labels (1, 3, 5) and a 12-sided die with labels (1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7). (Don't worry about the geometry of a 3-sided die; that's a different class.) (a) Conrm using a table that these two dice and 2 standard 6-sided dice have the same sums With the same frequencies. (b) Conrm using polynomials by showing that the expressions for these two dice when multiplied together match (:I: +232 | m3 | 34 +5125 +336)2. n. --. u .,. . , 1 u u n 1 .1 ' u. -u n