Proof

(related to Corollary: Probability of the Impossible Event)

According to the proposition about the probatility of the complement event, and the axiom of the probability of the certain event, we have

\[p(\emptyset)=p(\overline\Omega)=1-p(\Omega)=1-1=0.\]


Thank you to the contributors under CC BY-SA 4.0!

Github:
bookofproofs


References

Bibliography

  1. Bosch, Karl: "Elementare Einf├╝hrung in die Wahrscheinlichkeitsrechnung", vieweg Studium, 1995, 6th Edition