Lastnosti verjetnosti 1. Za dogodka A in B velja: P(A ⪠B) = P(A) + P ...
Lastnosti verjetnosti 1. Za dogodka A in B velja: P(A ⪠B) = P(A) + P ...
Lastnosti verjetnosti 1. Za dogodka A in B velja: P(A ⪠B) = P(A) + P ...
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Verjetnost <strong>in</strong> statistika, FRI, 2006<br />
. . . Pogojna verjetnost<br />
P(A|B) =<br />
P(B|A) =<br />
P(A ∩ B)<br />
P(B)<br />
P(A ∩ B)<br />
P(A)<br />
=⇒ P(A ∩ B) = P(B) · P(A|B)<br />
=⇒ P(A ∩ B) = P(A) · P(B|A)<br />
Skupaj dobimo: P(A) · P(B|A) = P(B) · P(A|B).<br />
Dogodka A <strong>in</strong> B sta neodvisna, če <strong>velja</strong><br />
P(A|B) = P(A)<br />
<strong>Za</strong>to za neodvisna <strong>dogodka</strong> A <strong>in</strong> B <strong>velja</strong> P(A ∩B) = P(A) ·P(B).<br />
<strong>Za</strong> nezdružljiva <strong>dogodka</strong> A <strong>in</strong> B <strong>velja</strong> P(A|B) = 0.<br />
Aleksandar Jurišić 6
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