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taylorius | 6 months ago

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

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tomsmeding|6 months ago

Uncertainty in the number of successes due to the number of trials, would be even better.

jdhwosnhw|6 months 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.)