Final answer:
Magnesium fluoride (MgF2) is most likely to contain ionic bonds, while the other compounds listed consist of nonmetals bonding through covalent bonds.
Step-by-step explanation:
The compound most likely to contain ionic bonds is magnesium fluoride (MgF2).
Ionic bonds occur between a metal and a nonmetal. In this case, magnesium (Mg) is a metal and fluorine (F) is a nonmetal. MgF2 consists of Mg2+ ions and F- ions held together by electrostatic attraction, forming an ionic bond.
In contrast, compounds like CH4, N2O, and B2H6 do not contain ionic bonds because they consist of nonmetals bonding with other nonmetals through covalent bonds.