Suppose a couple will continue having children until they have at least two children of each sex (two boys and two girls). How many children might they expect to have? For @inkyvoyd @Rohangrr

Question

Suppose a couple will continue having children until they have at least two children of each sex (two boys and two girls). How many children might they expect to have? For @inkyvoyd  @Rohangrr

inkyvoyd · Answer

expect to have?

inkyvoyd · Answer

this is not a problem that is easy to directly solve.

inkyvoyd · Answer

you could have 30 children be all girls.

inkyvoyd · Answer

of course, at that point, it is very likely to have at least 2 boys.

inkyvoyd · Answer

according to standard distribution, having 4 children n times as n approaches infinity would get 2 boys and 2 girls.

anonymous · Answer

sigh I dislike Statistics

inkyvoyd · Answer

did you make this problem up?

anonymous · Answer

no Im working on some problems to study from

dumbcow · Answer

using probability:
after 4 children, there is 37.5% chance you have 2 boys/2 girls
after 5 children, there is 62.5% chance you have at least 2boys/2 girls
after 6 children, there is 78% chance you have at least 2boys/2 girls
after 8 children, there is 93% chance you have at least 2boys/2 girls
...

based on this i would say a reasonable expectation would be about 6 children