Predict one random variable from another with same seed

Given the same seed, is it possible to predict one output from the other, with different type and range?

e.g.

np.random.seed(100)

x = np.random.randint(0, 16, 2)

np.random.seed(100)

y = np.random.randint(0, 256)

In this example I have x as a 2-element integer array with range 0-15 and y as a integer scalar with range 0-255.

My question is in general, not limited to the example above, under which condition it is possible to predict y given x? Assume the observer knows x, type and range of x and y, but not the seed itself.

Any discussion of sufficient or necessary conditions for predictability will be useful.