oblicz P(...)

ksavi · Post autor: **ksavi** » 27 lut 2007, o 18:31

Oblicz \(\displaystyle{ P(A\cap\overline{B})}\) znająć \(\displaystyle{ P(A)}\) i \(\displaystyle{ P(A \cap B)}\).

kinwotar · Post autor: **kinwotar** » 27 lut 2007, o 22:00

\(\displaystyle{ P(A\cap\overline{B})=P(A)-P(A\cap{B})}\)

wb · Post autor: wb » 27 lut 2007, o 22:02

\(\displaystyle{ p(A)=p(A\cap \Omega)=p(A\cap (B\cup \overline{B}))=p((A\cap B)\cup (A\cap \overline{B}))=p(A\cap B)+p(A\cap \overline{B})}\)
Zatem:
\(\displaystyle{ p(A)=p(A\cap B)+p(A\cap \overline{B}) \\ p(A\cap \overline{B})=p(A)-p(A\cap B)}\)