Calculating Signal/Background Events in N Events

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SUMMARY

The discussion centers on calculating the number of signal and background events from a total of N events, each with distinct probabilities assigned to them. It is confirmed that the number of signal events can be computed as the sum of the probabilities of each event being a signal, expressed as P(signal | event 1) + ... + P(signal | event N). Consequently, the number of background events is determined by subtracting this sum from N, affirming the Bayesian approach to event classification.

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touqra
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Hi,

suppose I have N number of events. Each event is assigned a probability of whether it is a signal event or a background event. Each probability differs from one event with another. Is it true Bayesian-wise, that, the number of signal events out of the N events is
P(signal | event 1) +...+ P(signal | event N) and the number of background events is N minus the above sum of probabilities for signal?

Thanks.
 
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