Probabilities

Question

Approximately 3% of the eggs in a store are cracked. If you buy two dozen eggs, what is the probability that no more than two of your eggs are cracked?

Answer 1

you can model this scenario with a binomial probability since you have a fixed number of trials (n = 2*12 = 24), a set probability (p = 0.03), and then an exact measure you are looking for (x <= 2). i would technology like Excel or a binomial distribution calculator in order to solve ... when i do that i get

P(x <= 2) = 0.9659

meaning that there is about a 96.59% chance that no more than 2 of your eggs are cracked