Final answer:
Fluorine is the nonmetal most likely to displace oxygen from one of its compounds due to its high electronegativity.
Step-by-step explanation:
The nonmetal that is most likely to displace oxygen from one of its compounds is fluorine (F). Fluorine is the most electronegative element on the periodic table, meaning it has a strong tendency to gain electrons and form negative ions. This makes it highly reactive and likely to displace oxygen from its compounds.