How long should a light last?

Unless you have the light on a lot, that seems pretty short. I've replaced two bulbs in my pool in 12 years.
 
Could be a short or a ground fault. Check the GFCI if you've got one. I've had that happen several times.

Depending on the light fixture, they can leak and partially fill with water. When that happens, moisture/humidity can cause the bulb/socket to corrode.
 
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