Approximately 2.5% of the eggs in a store are cracked. If you buy two dozen eggs, what is the probability that exactly three of your eggs are cracked? Round your answer to the nearest whole percent.

Answer 1

This probability is calculated using the binomial distribution:

X = the egg is cracked

n = 24

p = .025

P(X = 3) = (₂₄C₃)(.025)³(.975)^24-3 = .0186 = 2%