# Loss function when the output is a single probability

I have a regression problem where the output y is a single probability, i.e. real number that varies in the interval [0, 1]

While using L1 or L2 loss will very likely work well, I feel that they are not the most appropriate options considering that the range [0, 1] is already well defined.

Is Binary Cross Entropy (BCE Loss in pytorch) the most appropriate in this case?