You have 1000 creatures, each with a value \( x \in [0, 1] \). The population starts uniformly distributed across this range.

Each generation runs three phases in order:

Reproduction is asexual — offspring inherit their parent’s value \( x \). Generations repeat until one creature remains.

1. What creature \( x \) do you expect to win?

2. How many generations do you expect it to take?