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Slika - Shrani.si

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A. Juriˇ<strong>si</strong>ć in V. Batagelj: Verjetnostni račun in statistika 131<br />

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. . . Pogojna verjetnost<br />

Iz formule za pogojno verjetnost sledi:<br />

Torej velja:<br />

P (A ∩ B) = P (B) P (A/B),<br />

P (A ∩ B) = P (A) P (B/A).<br />

P (A) P (B/A) = P (B) P (A/B).<br />

Dogodka A in B sta neodvisna, če velja<br />

P (A/B) = P (A).<br />

Zato za neodvisna dogodka A in B velja P (A ∩ B) = P (A) · P (B).<br />

Za nezdruˇzljiva dogodka A in B velja P (A/B) = 0.<br />

Univerza v Ljubljani ▲<br />

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