O zdarzeniach A B C Ω wiadomo że P(A)=¼ , P(B)=⅓ , P (AпB)=⅕.
Oblicz: P(A' п B' ) i P(A' /B )
A'nB'=(AuB)' więc P(A'nB')=P(AuB)'=1-P(AuB)
P(AuB)=P(A)+P(B)-P(AnB)=¼+⅓ - ⅕= 23/60
P(A'nB')=1-23/60=37/60
A'\B=A'nB' więc P(A'\B)=P(A'nB')=37/60
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A'nB'=(AuB)' więc P(A'nB')=P(AuB)'=1-P(AuB)
P(AuB)=P(A)+P(B)-P(AnB)=¼+⅓ - ⅕= 23/60
P(A'nB')=1-23/60=37/60
A'\B=A'nB' więc P(A'\B)=P(A'nB')=37/60