2 added 81 characters in body
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l = RandomChoice[Range[-100, 1], 50];

Simplest to understand is

Or @@ Positive[l]

Perhaps faster for long lists is

Total@UnitStep[-l] =!= Length@l
l = RandomChoice[Range[-100, 1], 50];

Simplest to understand is

Or @@ Positive[l]
l = RandomChoice[Range[-100, 1], 50];

Simplest to understand is

Or @@ Positive[l]

Perhaps faster for long lists is

Total@UnitStep[-l] =!= Length@l
1
source | link

l = RandomChoice[Range[-100, 1], 50];

Simplest to understand is

Or @@ Positive[l]