So the answer to this week’s logic problem: There would be the same number of boys as girls.

Here is the explanation:

This is a common misconception. It is the same misconception that makes gamblers believe that a certain number is “due.” As they say, the dice have no memory. For example:

Let’s say that 1 million couples have a child in round one. Half will have boys, half girls. So now there are 500K each of boys and girls.

The couples with girls must stop, the 500,000 with only boys are required to try again. So the 500,000 couples who had boys in round one have children, again half are boys and half girls. So now there are 750,000 each boys and girls.

The third round, the parents who had a girl stop, the 250,000 parents who don’t yet have a girl try again. So now another 125,000 boys are born, as are 125,000 girls. So now the running count is 875,000 boys, and 875,000 girls.

So as this progresses, the ratio will always be 50/50.

## 2 Comments

## Fang Tang Arangasang · February 21, 2021 at 5:01 pm

Well I’ll be dipped, I was almost sure I missed something obvious. Math being racist and all. ðŸ™‚

## Therefore · February 21, 2021 at 7:23 pm

Thank you. Makes perfect since, and of course matches the results of my simulation.

## Comments are closed.