probability

Question

A machine that packs eggs into 12-egg cartons breaks 1 out of every 1000 eggs it packs. Every egg is an independent trial. The probability of getting a carton with zero broken eggs is:

Answer 1

1000 eggs will take up 83 cartons and one-third of an 84th carton.

Write the probability of drawing a carton with all 12 eggs intact as

(1 − 1/83.333333333) or (1 − 3/250) which goes to 0.988.