Question

Answer in sentences and be logical!
(a) What does it mean for two events to be disjoint? What does it mean for two events to be independent? Give an example of each [not from parts (b) and (c)!].
(b) Consider a family with two children and define the events
            G₁ = { 1^st child is a girl }
            G₂ = { 2^nd child is a girl }
Using these events, discussion the question: Are independent events always disjoint?
(c) Consider a family with one child and define the events
            B = { child is a boy }
            G = { child is a girl }
Using these events, discussion the question: Are disjoint events always independent?

Answer 1