My python is really rusty, but if you convert this sudocode to python, you will see that the answer is 50/50. I'll write this up in Javascript when I have time. If you do this in Python, please post.
girl = 0
boy = 0
do 10000 times {
child1Sex = randomSex;
child1Day = randomDay;
child2Sex = randomSex;
child2Day = randomDay;
if ( (child1Sex == "B" AND child1Day == "Tu") OR (child2Sex == "B" AND child2Day == "Tu") ) {
if (child1Sex == child2Sex){
boy++
} else {
girl++
}
}
}
print "Ratio of boys and girls is " + boy " : " + girl;
Wow, works good. I should learn python :) But yeah, you were absolutely right! It was hard for me to figure out because I was trying to find a mathematical reason for this, and I was wrong. I finally figured it out mathematically. The way you posit the problem the probability that the asked parents have another boy is (1/2)-(1/7/2).
This is really counter intuitive, the open vs. closed probability set through me off. Hey, thanks for putting up with my stubbornness!
