Gebeurtenissen Samengestelde gebeurtenis = “2 of meer gooien”
Elementaire gebeurtenis = “1 gooien”
Zekere gebeurtenis = steeds minder dan 7 gooien
Onmogelijke gebeurtenis = 7 gooien
Kansregel van Laplace Als het universum Ω eindig is en als alle uitkomsten even waarschijnlijk
zijn, dan is
𝑎𝑎𝑛𝑡𝑎𝑙 𝑔𝑢𝑛𝑠𝑡𝑖𝑔𝑒 𝑢𝑖𝑡𝑘𝑜𝑚𝑠𝑡𝑒𝑛
𝑃(𝐴) = 𝑎𝑎𝑛𝑡𝑎𝑙 𝑚𝑜𝑔𝑒𝑙𝑖𝑗𝑘𝑒 𝑢𝑖𝑡𝑘𝑜𝑚𝑠𝑡𝑒𝑛
#𝐴
= #Ω
voor elke gebeurtenis 𝐴 ⊆ Ω
Lukraak = om aan te duiden dat alle uitkomsten even waarschijnlijk zijn
Relatieve frequentie Als het universum niet eindig is of niet alle uitkomsten zijn even
waarschijnlijk
→ mag de regel van Laplace NIET gebruikt worden
, KANSEN VAN GECOMBINEERDE GEBEURTENISSEN + venndiagram
Kans van de UNIE
A of B
Kans van het COMPLEMENT
Niet a
VOORWAARDElijke kansen
A als B
Kans van de DOORSNEDE
A en B
Kansregel van Laplace
A
, KANSBOMEN
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