3 ms·

I think "uncertainty due to the number of trials" would be clearer.

• tomsmeding 1y ago
  Uncertainty in the number of successes due to the number of trials, would be even better.
  • jdhwosnhw 1y ago
    That would also be an incorrect phrasing. This entire thread is a good illustration of the difficulty of speaking precisely about probabilistic concepts. (The number of successes has zero uncertainty. If you flip a coin 10 times and get 5 heads, there is no uncertainty on the number of heads. In general, for any statistical model the uncertainty is only with respect to an underlying model parameter - in this example, while your number of successes is perfectly known, it can be used to infer a probability of success, p, of 0.5, and there is uncertainty associated with that inferred probability.)