Is order important when considering sample space in probability ?

Question

aravindg · Answer

I was told that sample space for the question "a family has 2 children " is

{BB,BG,GG,GB}

But isnt BG=GB because either of them will be a boy or girl , so is the order also important here? A bit confused :)

zarkon · Answer

BG$\ne$GB

aravindg · Answer

so the order is important?

zarkon · Answer

what if I then asked what is the prob the first child is a boy

zarkon · Answer

the sample space is just the list of all possible outcomes...there are 4 outcomes with this experiment

aravindg · Answer

thats a good question ...so in general for any question on probability I should also lookout for the  order ?

zarkon · Answer

not always...it depends on the question

zarkon · Answer

the sample space you list ALL outcomes.  then if you want you can ask a probability question that depends on the order

aravindg · Answer

O.K now I understand.... thanks :)