Let A= event that a family has children of both sexes, and Let B= event that a family has at most one boy. Show that A and B are dependent events if a family has two children.
- احصاء
- رياضيات
- 2021-05-03
- HebaAallahFathy
الأجوبة
S={bb,bg,gb,gg}
A={bg,gb} ∴P(A)=1/2
B={bg,gb,gg} ∴P(B)=3/4
A∩B={bg,gb}
P(A∩B)=1/2
Since P(A)*P(B)=3/4≠P(A∩B)=1/2
Thus A and B are dependent.
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