Q$3\mathrm{.}4$: $(11$ total points$)$ The following pedigree shows the inheritance of a rare syndrome that results in missing teeth where $5-6$ teeth are missing.

$\backslash (123\backslash$quad $3\backslash )$

A$.$ Based on this pedigree, what do you think is the most likely mode of inheritance for missing teeth syndrome? Give your reasoning, define your gene symbol. $(3$ points$)$

B$.$ If couple III$-7$ and III$-8$ have another child, what is the probability that the child will have missing teeth? Show your work. $(4$ points$)$

C$.$ If couple III$-2$ and III$-7$ were to mate, what is the probability that the child will have missing teeth? Show your work. $(4$ points$)$