Three different classes contain 20, 18, and 25 students, respectively, and no student is
a member of more than one class. If a team is to be composed of one student from each of these three
classes, in how many different ways can the members of the team be chosen?

Solution Link: www.math.umt.edu/graham/stat421/hw1.pdf

Each year starts on one of the seven days (Sunday through Saturday). Each year is either a leap year(i.e., it includes February 29th) or not. How many different calendars are possible for a year?

Solution: Year starts on Sunday through Saturday = 7 days
                Year either leap year or not i.e. 2 different years.
                Therefore total number of calenders possible for a year = 7 x 2 = 14



 

Consider an experiment in which a fair coin is tossed once and a balanced die is rolled once.
Describe the sample space for this experiment. What is the probability that a head will be
obtained on the coin and an even number will be obtained on the die?

Solution: The sample space contains 12 outcomes, where each outcome comprises a pair with
the rst element H or T (from the toss of the coin), and the second element a number from 1 to
6 (from the roll of the die). Event A = (head on the coin and even number on the die) includes 3
outcomes, speci cally, (H,2), (H,4), and (H,6). Under the assumption of equally likely outcomes
for this nite sample space, Pr(A) = 3/12 = 1/4.