Answer to Question #105329 in Statistics and Probability for anum

Question

Of 12 eggs in a refrigerator 2 are bad from these 4 eggs are choosen at random to make.what is the probility that at least one egg is bad?​

Answer 1

Find the probability that the selected eggs are all good:

$P=\frac{C_{10}^4}{C_{12}^4}=\frac{14}{33}$

Then the probability that at least one is bad:

$\overline{P}=1-P=\frac{19}{33}$