Step 1: Read the two statements.
Statement I defines genetic drift, and Statement II defines genetic load. We must judge if each is correct.
Step 2: Check Statement I.
Genetic drift is the change in how common a gene is, happening just by chance and not by selection, and it shows up strongly in small populations. Statement I says exactly this, so it is true.
Step 3: Understand why small size matters.
In a small group, random events can quickly change which alleles get passed on, so chance has a big effect. This supports Statement I.
Step 4: Check Statement II.
Genetic load is the burden of harmful or deleterious genes carried within a population. Statement II says this, so it is also true.
Step 5: Confirm both ideas are real.
Both genetic drift and genetic load are standard, accepted terms in population genetics, so neither statement is false.
Step 6: Choose the option.
Since both statements are correct, the right choice is that both are true.
\[ \boxed{\text{Both statements I and II are true}} \]