For each of the following reactions, give the major elimination product; if the product can exist as stereoisomers, indicate which stereoisomer is obtained in greater yield:
a. $(R)-2$-bromohexane $+$ high concentration of $\mathrm{HO}^{-}$
c. 3 -bromo-3-methylpentane $+$ high concentration of $\mathrm{HO}^{-}$
b. $(R)-3$-bromo-2,3-dimethylpentane $+$ high concentration of $\mathrm{HO}^{-}$
d. 3-bromo-3-methylpentane $+\mathrm{H}_{2} \mathrm{O}$