statis Roll two fair foursided dice Then S11 12 13 14 21 22

Roll two fair four-sided dice. Then S={11, 12, 13, 14, 21, 22, 23, 24, 31, 32, 33, 34, 41, 42, 43, 44). Let X=\"the product of the numbers you roll\". That is, if you roll a 11 then X=1 and if you roll a 42 then X=8, Construct the pdf for X:

Solution

X = {1,2,3,4,2,4,6,8,3,6,9,12,4,8,12,16}

P( X = x) = (1/16) x = 1,16

= (2/16) x = 2,3,4,6,8,9,12

= 0 elsewhere