A die with six faces has the number 1 painted on three of its faces, the number 2 painted on two of its faces, and number 3 on one face. Assume each face is equally likely to come up.
a) Find a sample space.
b) Find P(odd number).
c) If die were loaded so that the face with 3 on it were twice as likely to come up as the other 5 faces, would this change the sample space?
d) If die were loaded so that the face with 3 on it were twice as likely to come up as the other 5 faces, would this change the value of P(odd number)?