Amy has 3 children, and she is expecting another baby soon. her first three children are girls. is the sex of the fourth baby dependent or independent of the first three?
a) independent. with every child, there is a 50% chance of having a boy or girl.
eliminate
b) dependent. amy has not had a boy yet, so her chance of having a boy is greater.
c) dependent. every time amy has a baby, the chances of having another girl increase.
d) independent. only the mom and dad determine the sex of that baby, not the siblings.

Option A is right

Step-by-step explanation:

Given that Amy has 3 children, and she is expecting another baby soon. Her first three children are girls.

The fourth baby is independent of first three babies

As regards child birth, each trial is independent of the other with probability for a girl or boy equally likely with p = 0.5 = q

Hence option A is right answer.

Option B is wrong because the previous 3 girls have nothing to affect the sex of 4th child

Option C is wrong, since each trial is independent

D) is wrong since even mom and dad cannot determine the sex of that baby, it is nature and pure chance.

just needed some points but try socratic