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For an event to occur, in an interval of...
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For an event to occur, in an interval of 28 days, you have a chance of 0 for the first 23 days and then chances $p_1, p_2, p_3, p_4, p_5$ (each in [0,1], no correlation between the p_i's) in the remaining 5 days.

You probe this setup at a random day, the particular day you choose is given by a probability P (with $\sum_{n=1}^{28} P(n) = 1$).

What are the chances for the event to occur?

For starters, I think for P(n)==1/28 constant, you get
$\dfrac {1} {28} \sum_{n=i}^{5} p_i$,
but that's just my intuition.
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>>7809341
if the sum of probabilities over 28 days is 1 and the probabilities of the first 23 are 0 then the sum of probabilities over the last 5 days are 1, so the probability of it happening in those days is 1...

Assuming they're equal, each day is 1/5 chance
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>>7809341
>What are the chances for the event to occur?
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>>7809341
>a chance
>the chances
Lrn2probabilly