Let A1, A2,..., An, n > 2 be events. Prove that P(A) = = P(A, U...

Transcribed Image Text:

Let A1, A2,..., An, n > 2 be events. Prove that P(A) = = P(A, U A2 U …..UAn) =Σ P(A) - ΣΣ Ρ(ΑΠΑ;) τ i<j +ΣΣΣ Ρ(Α; ΠΑ; ΠΑΚ) —+(-1)n+1P(Α, ΠΑ2 Π… ΠΑn) i<j<k Let A1, A2,..., An, n > 2 be events. Prove that P(A) = = P(A, U A2 U …..UAn) =Σ P(A) - ΣΣ Ρ(ΑΠΑ;) τ i<j +ΣΣΣ Ρ(Α; ΠΑ; ΠΑΚ) —+(-1)n+1P(Α, ΠΑ2 Π… ΠΑn) i<j<k Let A1, A2,..., An, n > 2 be events. Prove that P(A) = = P(A, U A2 U …..UAn) =Σ P(A) - ΣΣ Ρ(ΑΠΑ;) τ i<j +ΣΣΣ Ρ(Α; ΠΑ; ΠΑΚ) —+(-1)n+1P(Α, ΠΑ2 Π… ΠΑn) i<j<k Let A1, A2,..., An, n > 2 be events. Prove that P(A) = = P(A, U A2 U …..UAn) =Σ P(A) - ΣΣ Ρ(ΑΠΑ;) τ i<j +ΣΣΣ Ρ(Α; ΠΑ; ΠΑΚ) —+(-1)n+1P(Α, ΠΑ2 Π… ΠΑn) i<j<k