Question: A jar contains 3 white marbles, 2 yellow marbles, 4 red marbles, and 5 blue marbles. Two marbles are picked at random. What is the probability that
a.) Both are blue
b.) Exactly 1 is blue
c.) At least 1 is blue
(a) The event of choosing 2 marbles has:
14!/(12!2!) = 91 members, corresponding to picking 2 objects out of 14.
The event of choosing 2 blue ones corresponds to choosing 2 blue marbles among 5: 5!/2!3! = 10.
The probability is given by ...
This solution is comprised of a response of about 175 words which estimates the probability of selecting particular colours of marbles. All calculations which are necessary are illustrated.