Answer
$B\cup D^{\prime}\cup C$
$n(B\cup D^{\prime}\cup C)=14$
Work Step by Step
Using the sample space set up in exercise 29,
the event here is: $\\\\$
(B occurs) OR (D does not occur) OR (C occurs)$\rightarrow$ $B\cup D^{\prime}\cup C.\\\\$
$B\cup D^{\prime}\cup C=\\$
$\{(1,3),(2,2),(3,1),\\$
$(5,6),(6,5)\\$
$(1,1),(1,2),(1,4),(1,5),(1,6)\\$
$(2,1),(4,1),(5,1),6,1)\}$
[ when listing the elements of C, we left out $(1,3)$ and $(3,1)$, because they were already in the set - they also belong to B)
$n(B\cup D^{\prime}\cup C)=14$
