Surviving Zombies
A zombie is on the loose. It infects one person each day, who then turns into a zombie. There is an antidote that will be ready in 30 days, due to mandatory animal testing. There is a slight possibility that the first trial will fail, and we would need another 30 days for the second trial.
Will the human race be able to survive the zombie outbreak?
Assume (somewhat unrealistically) that zombies
- exist,
- cannot be killed,
- infect one person every day, and
- can reach anyone no matter where they hide
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1 solution
So the current population should be in between 8 and 7 billions. Let it be 8 billions
Now when one zombie infects other person it also becomes a zombie.
=> 1st day ---- 1 zombie = 2^0 zombie
2nd day --- 2 zombies = 2^1 zombies
3rd day -- 4 zombies = 2^2 zombies
4th day -- 8 zombies = 2^3 zombies
.............................................. 30thday -------- 2^29 zombies = 1024 * 1024 * 512 = 536,870,912 < 1000,000,000 < 8,000,000,000
So the human species would still exist on earth on the 30th day! (Thanks to India and China!)
If the antitode works then its nice.
If it fails then
On 60th day populations infected by zombies = (536,870,911)^2 >>>> 8,000,000,000.
So, the human species would end from our earth.
Wait there are still some in space research institutes.