Are both of below sentences correct?
I had a lot of luck yesterday. I had lots of luck yesterday.
Are they interchangeable?
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I feel these phrases are not interchangeable. We usually use "lots of luck" when we wish somebody, for example, I wish you lots of luck in your job! Otherwise, it doesn't sound appropriate to use this phrase in other cases like the second sentence.
So the first sentence "I had a lot of luck yesterday" is preferable.