2. A dodecahedron die has 12 faces, numbered 1-12. The die is weighted in such a way that 1-6 are each equally likely to land facing up, but the remaining numbers are each twice as likely to face up as 1. a. What is the probability distribution for the face facing up? b. What is the probability that the dice lands with a 7 facing up twice in succession? [Hint: Similar to Exercise 23 in Section 7.3 of the textbook.] Solution