Let 𝐴1, 𝐴2 and 𝐴3 be pairwise disjoint events of a result space Ω, each with positive probabilit
Posted: Sun Sep 05, 2021 5:04 pm
Let 𝐴1, 𝐴2 and 𝐴3 be pairwise disjoint events of a result space
Ω, each with positive probability of occurrence and
𝑃 (𝐴1 ∪ 𝐴2 ∪ 𝐴3) = 0.4.
Furthermore, let 𝐵 ⊂ Ω be another event with 𝑃 (𝐵)> 0. Then:
Item 77 𝑃 (𝐵) = 0.4 ∑3, i=1 𝑃 (𝐵 | 𝐴i) 𝑃 (𝐴i), true or false
Item 78 P(A3 ⎪ B) = (P(B⎪A3)P(A3)) / P(B).
true or false
Ω, each with positive probability of occurrence and
𝑃 (𝐴1 ∪ 𝐴2 ∪ 𝐴3) = 0.4.
Furthermore, let 𝐵 ⊂ Ω be another event with 𝑃 (𝐵)> 0. Then:
Item 77 𝑃 (𝐵) = 0.4 ∑3, i=1 𝑃 (𝐵 | 𝐴i) 𝑃 (𝐴i), true or false
Item 78 P(A3 ⎪ B) = (P(B⎪A3)P(A3)) / P(B).
true or false