Don Burke:
The recent history of shark attacks on the Virginia and North Carolina coasts tells me that your chances of getting attacked by a shark might just be zero unless you are swimming on the surface at dawn or dusk.
Those are the conditions for all of the attacks in recent years.
I've had sandtigers and bulls get curious, but no aggression was shown.
I believe Mr. Burke is on the right track, on this issue.
Point being, whatever the odds, wherever you are, it would be a good idea to minimize the factors against you.
Don't dive where sharks are known to be present, anyplace where the shark's favorite food is (seal and sea lion congregations, and elephant seal haul-outs especially).
Don't stay in the water after you have speared a fish. Get back to shore or the boat, and get the fish into an ice chest ASAP.
Don't attract sharks with splashing noises when you are on the surface.
Avoid long surface swims if possible. Ergo, stay close to the boat, the anchor line, and/or the bottom at all times.
Don't dive alone, always be with a group.
Take extra precautions if you are diving at night, such as staying in a protected cove for your night dive. Not all sharks are nocturnal, but many of them are, so the odds against you are higher at night.
Once you have taken all the possible precautions, then relax and don't ruin your dive by being paranoid, because the odds are then strongly in your favor that there is no chance at all you will meet a shark. Even if you wanted to.