SOLUTION: a six-sided die is loaded in a way that each even face is three times likely as each odd face . all even faces are equally likely and all odd faces are equally likely . what is the

Algebra ->  Finance -> SOLUTION: a six-sided die is loaded in a way that each even face is three times likely as each odd face . all even faces are equally likely and all odd faces are equally likely . what is the      Log On


   



Question 1055760: a six-sided die is loaded in a way that each even face is three times likely as each odd face . all even faces are equally likely and all odd faces are equally likely . what is the propability that the outcome of a die roll will be a face showing 3 or less ?
a.5/12 b.5/13 c.5/14 d.5/15 e.5/16

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So there are 3 even faces and 3 odd faces.
P%28odd%29=3P%28even%29
3P%28odd%29%2B3P%28even%29=1
3%283P%28even%29%29%2B3P%28even%29=1
12%2AP%28even%29=1
P%28even%29=1%2F12
P%28odd%29=3%2F12=1%2F4
So then,
P=P%281%29%2BP%282%29%2BP%283%29
P=P%28odd%29%2BP%28even%29%2BP%28odd%29
P=3%2F12%2B1%2F12%2B3%2F12
P=7%2F12