Question

Ok people listen up. The world has descended into total chaos and you now live under the the screws of a brutal warlord named Evil Bob. Evil Bob requires that every person, upon turning 18 years old, participate in "The Games^TM". You have two options to choose from when it comes to "The Games^TM". You can choose Game 1 or Game 2.

This is all you know:

1000 players have died playing Game 1.

100,000 players have died playing Game 2.

You are required to choose between Game 1 and Game 2.

1) Knowing only this information which game would you choose?

2) Suppose you could ask the Evil Bob one question about "The Games^TM". What would it be? I need you thinking statistically about this. Questions about the actual nature of "The Games^TM" itself are not what I'm looking for.

Answer 1

1) Knowing only this I would choose Game 1 because lesser people have died playing it

2) The question I would ask Evil Bob is

How many people have played Game 1 and how many people have played Game 2?

Knowing this data, I will be able to make a relative comparison of success rate in playing the two games and make a much more statistically relevant decision about which game to play

For ex, if 1250 people have played Game 1 and 1 million people have played Game 2, then my decision in part 1 of problem wold change, because Game 1 has a much lower 20% success rate as against 90% for Game 2