How many people before someone pushed the giant red button?

--In todays age, humanity has the power to destroy earth. Luckily that power is exclusive to very few people with tons of protocol.

--But lets pretend for a moment that the power to destroy earth was put on the balance of the push of one giant red button.

--Like a lottery from the entire (18+ non clinically mentally challenged) population of earth, if you just started randomly selecting people one by one, and the button appeared in front of them for lets say 10 seconds each before moving to the next and they knew that it really did hold the power to destroy all of earth, how many people would you have to go through before someone pushed the god damn button?

--Lets pretend we are running this in a simulation and you have to bet on it, all the closest guesses win infinite money or whatever. Whats your honest guess? Roughly how many randomly selected people do you have to cycle through before someone decides to blow up the entire earth?

( hopefully it's obviously implied that each option implies a range more than previous option but less than your option, Example: you pick less than 5,000 people your guess is 1,000- 5,000)