toponaut
I can't figure out what you mean. Examples?
You seem to be linking religion with "moral standards" and science with "facts". Neither of those are appropriate.
Not all religions teach morality and, if there is such a thing as "fact" on some topic, there is no need to do science on it.
Science and religion are both about our "best guesses". They can point in different directions but that happens within each domain too (Islam vs Buddhism / string theory vs standard model) and doesn't make them incompatible tools.
I was assuming this college technique was used to make a (plan for a) new woodcutting.
Edit:college -> collage
---
die = Die(12)
expected_values(die, n=10000)
gaussian = Gaussian(mu=4.0, sigma=2.0)
expected_value(gaussian, n=100000)
coin = Coin(fairness=0.75)
expected_value(coin, f=lambda x: np.where(x == "H", 1.0, 0.0)
---
After all this work, the answers to the problems are right there in the constraints.
ev_die = (sides+1)/2
ev_gaussian = mu
ev_coin = sign * fairness
What is the point?