elmathing

Question 1

can be used to determine the number of possible outcomes when there are two or more characteristics

Answer 1

Fundamental Counting Principle

Question 2

states that if an event has m possible outcomes and another independent event has n possible outcomes, then there are m* n possible outcomes for the two events together.

Answer 2

Fundamental Counting Principle

Question 3

A _________ is an arrangementof items in a particular order.

Answer 3

Permutation

Question 4

To find the number of Permutations of n items, we can use the ?

Answer 4

Fundamental Counting Principle or factorial notation.

Question 5

nPr = n! / (n-r)! where 0< r < n

Answer 5

permutation

Question 6

A ________ is an arrangement of items in which order doesnotmatter

Answer 6

Combination

Question 7

The combinations are a “____” of the permutations.

Answer 7

subset

Question 8

nCr = n! / r!(n-r)! where 0 <= r <= n

Answer 8

Combinations

Question 9

Applications

Decision Making and Planning

Answer 9

• Event Planning
• Resource Allocation

Question 10

Applications

Probability and Statistics

Answer 10

• Games and Gambling
• Surveys and Polls

Question 11

Applications

Computer Science and Cryptography

Answer 11

• Algorithm Design
• Password Strength

Question 12

Applications

Scheduling and Logistics

Answer 12

• Travel Routes
• Shift Schedules

Question 13

Applications

Biology and Genetics

Answer 13

• DNA Sequencing
• Epidemiology

Question 14

Applications

Business and Marketing

Answer 14

• Product Bundling
• Market Research

Question 15

Applications

Engineering and Design

Answer 15

• Signal Processing
• System Design

Question 16

Applications

Sports and Games

Answer 16

• Tournament Scheduling
• Team Selection

Question 17

Applications

Education

Answer 17

• Exams and Assignments
• Study Group Formation

Question 18

Applications

Finance and Investment

Answer 18

• Portfolio Selection
• Risk Management

Question 19

Any happening whose resultisuncertainiscalled an ?.

Answer 19

experiment

Question 20

The possible results of the experiment are?

Answer 20

outcomes

Question 21

the set of all possible outcomes of the experiment is the ____ of the experiment

Answer 21

sample space

Question 22

any subcollection of a sample space is an? .

Answer 22

event

Question 23

For the experiment to be fair, each of the outcomes is?

Answer 23

equally likely

Question 24

If P (E) = 0, then event E cannot occur,and is called an?

Answer 24

impossible event

Question 25

If P(E) = 1, then event must occur, and E is called a?

Answer 25

certain event

Question 26

The ________ is the set of all outcomes that are NOT in the event.

Answer 26

complement of an event

Question 27

P(A’) = 1 – P(A). where is the?

Answer 27

complement of an event

Question 28

Two events A and B (from the same samples pace) are ____ when A and B have no outcomes in common

Answer 28

mutually exclusive

Question 29

In the terminology of sets, the intersection of A and B is the empty set, which implies that

Answer 29

P (A ∩ B) = 0.

Question 30

If two events, A and B, are ________, then the probability that either A or B occurs is the sum of their probabilities.

Answer 30

mutually exclusive

Question 31

If two events, A and B, are ________, then the probability that either A or B occurs is the sum of their probabilities decreased by the probability of both occurring

Answer 31

not mutually exclusive

Question 32

P(A or B)= P(A)+ P(B) – P(A and B)

Answer 32

Not Mutually Exclusive Events