Question

1. Consider a carton containing one dozen colorfully decorated eggs labeled A through L. ’ (a) How many distinct ways can the eggs be arranged in the carton? (b) If three of the eggs are chosen to decorate an Easter basket, how many choices are possible? Hint: Order doesn’t matter. (c) What is the probability that exactly 3 of the randomly chosen eggs have a vowel for a label? Hints: How many vowels are there between A and L? Since order still doesn’t matter, part b should give size of sample space. (d) Challenge (Do your best and show all work. I don’t expect everyone to get this, and won’t penalize too many points if you don’t.): Determine the probability that exactly 2 of the 3 eggs are labeled with vowels. Hints: Order still doesn’t matter. Consider how many non-vowels there are in the dozen.

Answer 1