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Question: 2019 Winter Final - 22

Author: Michiel Smid
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 gender of the other children. A couple stops having children as soon as they have 2 girls or 2 boys. Consider the random variables
  • G = the number of girls the couple has,
and
  • B = the number of boys the couple has.
Which of the following is correct?
(a)
All of the above.
(b)
The random variables $G$ and $B$ are independent.
(c)
None of the above.
(d)
The random variables $G$ and $B$ are not independent.