4-2-1. Bayes' Theorem for Future Events. The probability of the materialisation of another event C, given P (C | ANE1), P (C | An E2), ..., P (C | An En) is given by : n E P (E;) P (A | E;) P (C | E;N A) i = 1 P (C IA) = %3D 11 E P (E;) P (A | E;) i = 1

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Prove the theorem

4-2-1. Bayes' Theorem for Future Events. The probability of the materialisation of
another event C, given P (C | A n E1), P (C 1 A n E2), ..., P (C | An Em) is given by :
••.
E P (E) P (A | E;) P (C I E;n A)
i = 1
P (C 1A)
11
E P (E,) P (A | E;)
i = 1
Transcribed Image Text:4-2-1. Bayes' Theorem for Future Events. The probability of the materialisation of another event C, given P (C | A n E1), P (C 1 A n E2), ..., P (C | An Em) is given by : ••. E P (E) P (A | E;) P (C I E;n A) i = 1 P (C 1A) 11 E P (E,) P (A | E;) i = 1
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