How likely is it for someone to loose egg roulette?

  Beepty Beep Boop . . .Inserting Quick Answer . . . Code Green

I would say 50/100. It's a possibility to get a rare egg, and it's a possibility to not.

9.9 years

a = p(1 + rt) . . account balance after time t at rate r starting with principal p

3000 = 2500(1 + 0.0202t) . . filling in the given numbers

1.2 = 1 + 0.0202t . . divide by 2500

0.2 = 0.0202t . . . subtract 1

0.2/0.0202 = t ≈ 9.901

it will take about 9.9 years for the account balance to reach $3000.