Question: 2019 Fall Final - 19
When a couple has a child, this child is a boy with probability 1/2 and a girl with probability 1/2,
independent of the sex of previous children. A couple stops having children as soon as they have a child
that has the same sex as their first child. Define the events
- A = "the second child is a boy",
- B = "the couple has at least three children and the third child is a boy".
(a)
None of the above.
(b)
The events $A$ and $B$ are not independent.
(c)
The events $A$ and $B$ are independent.