1 Suppose there are three routes from Byrne Hall to McGaw Ha

1) Suppose there are three routes from Byrne Hall to McGaw Hall and five routes from McGaw Hall to Monroe Hall. How many ways is it possible to travel from Byrne Hall to Monroe Hall by way of McGaw Hall?

2) How many elements are in the one-dimensional array shown below?

A [7], A [8], .......A [[145/2]]

a)56          

b)76

c)66

d)None of the above

3) An urn contains four balls numbered 1, 3, 4, and 6. If a person selects a set of two balls at random, the expected value of the product of the numbers on the balls is approximately 11.17.

a)True

b)False

4) A coin is loaded so that the probability of heads is 0.55 and the probability of tails is 0.45. Suppose the coin is tossed twice and the results of the tosses are independent.

What is the probability of obtaining at least one head?

a)0.7975

b) 0.3025

c) 0.2475

d) None of the above

5) In a certain state, license plates each consist of 2 letters followed by 3 digits.

How many different license plates are there that have no repeated letters or digits?

a) 676,000

b) 468,000

c) 768,000

d) None of the above.

6) Suppose A and B are events in a sample space S, and P(A|B) = 1/2 and P(B) = 1/3. P(A B) = 1/6

a) True

b) False

7) A club has seven members. Three are to be chosen to go as a group to a national meeting.

How many distinct groups of three can be chosen?

8) In Dr. Ferreira\'s discrete math class, three quizzes were given. Out of the 30 students in the class:

15 scored 12 or above on quiz #1,
12 scored 12 or above on quiz #2,
18 scored 12 or above on quiz #3,
7 scored 12 or above on quizzes #1 and #2,
11 scored 12 or above on quizzes #1 and #3,
8 scored 12 or above on quizzes #2 and #3,
4 scored 12 or above on quizzes #1, #2, and #3.

How many scored 12 or above on quizzes 1 and 2 but not 3?

9) A large pile of coins consists of pennies, nickels, dimes, and quarters (at least 20 of each).

How many different collections of 20 coins can be chosen? DO NOT USE COMMAS IN YOUR ANSWER!

(2x 1)⁵ = 32x⁵ 80x⁴ + 80x³ 40x² + 10x 1

a)True

b)False

Solution