4.50 (4 votes)
Loading...
Assume:
(1) 20% of all people are “black” (100%)
(2) All mating is random
(3) Once you go black, you never go back.
How long until everyone on earth is at least 50% black?
1 thought on “The Mathroom!”
Comments are closed.
4.50 (4 votes)Loading...
Assume:
(1) 20% of all people are “black” (100%)
(2) All mating is random
(3) Once you go black, you never go back.
How long until everyone on earth is at least 50% black?
Comments are closed.
So basically the last white surviving must have had all white predecessors. The equation to solve is then:
0.8^n (the probability of having 100% white predecessors) * 7*10^9 (population of the earth today) = 1 (the last white person)
Taking the logarithm left and right gives you n= 101 generations 🙂