solution a. For balanced dies, each face is equally likely to come up. Thus,p(x)= \dfrac{1}{6}~~~ \textrm{ for } i \in \{1,2,3,4,5,6\}p(x)=61 for i∈{1,2,3,4,5,6}Answera. p(x)= \dfrac{1}{6}~~~ \textrm{ for } i \in \{1,2,3,4,5,6\}p(x)=61 for i∈{1,2,3,4,5,6}b. 3.5 c. 1.7 d. 1