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
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller marlenebraem. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $6.43. You're not tied to anything after your purchase.