5 ms·
> Considering color or religion doesn't have any impact on the ability of someone to be a "best astronaut", if your groups isn't diverse, it's most likely there
by bArray 2y ago
> Considering color or religion doesn't have any impact on the ability of someone to be a "best astronaut", if your groups isn't diverse, it's most likely there is a bias in action.
You have 8 blue people and 2 purple people. The blue people and purple people have different colour, different ideology, but are the same in all ways that count.
The astronaut programme opens up and needs 5 people. From 10 people, choose 5. It turns out that there are 252 ways of doing this [1]. At most you could only have 2 purple people selected, when 1 purple person is selected it looks unbiased, but actually the vast majority of cases are when only blue people are represented.
Another way to think about it is this: 8 blue people, 2 purple people. You pick one at random, there is an 8/10 chance you pick blue, 2/10 purple. If you select a purple, for the next pick there is now just a 1/9 chance of picking purple, but an 8/9 chance of picking blue.
[1] https://www.hackmath.net/en/calculator/n-choose-k?n=10&k=5&order=0&repeat=0 https://www.hackmath.net/en/calculator/n-choose-k?n=10&k=5&o...