Step-by-step explanation:
Studies has proven that a reasonable percentage of endangered/exctinct species have/had low genetic variation. The reason to this is because the species genes couldn't adapt to the changes that occurred, which means that they couldn't keep up with their environment and eventually became "non-adapted".
Conclusion:
If a species has a high genetic variation, it will be able to adapt easily to new conditions, which means that it has lower chances of going exctinct as opposed to those with lowe genetic variation.
Important note:
If your question was: "Is a species more or less likely to go extinct if it suffers a lot of genetic variations?", then, the answer would be that hey're more likely to go extinct, since their genes will change so much that new species might originate (mutation) and the previous ones will not exist anymore. But still, I recommend you stick with the first answer unless it doesn't match your question.
Hope it helped,
BioTeacher101