If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many different ways can a student check off one answer to each question? (b) in how many ways can a student check off one answer to each question and get all the answers wrong?

Q: A test has 10 multiple choice questions, and each question has 5 possible answers. How many answers…

A: Given: Number of questions, n=10 Each question has 5 possible answers.

Q: When taking a 20 question multiple choice test, where each question has 3 possible answers, it would…

A: We have to find that event is usual or unusual.....

Q: Professor Easy's final examination has 14 true-false questions followed by 3 multiple-choice…

A: Given:- Professor Easy's final examination has 14 true-false questions followed by 3 multiple-choice…

Q: A test consists of 15 questions. Ten are true-false questions, and five are multiple-choice…

A: From the given information, A test consists of 15 questions. There are 2 ways to answer each…

Q: A multiple-choice test has 7 questions, with 4 possible answers for each question. If a student were…

A: Given: Number of questions = 7 Number of options available for each question = 4

Q: A mathematics exam consists of 10 multiple-choice questions and 5 open-ended problems in which all…

A: He has to choose 8 multiple choice questions from 10 multiple-choice questions. He can do that in…

Q: A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work…

A: Given Number of multiple choice questions =9 Number of open ended problem = 6

Q: .a) If Maria does not know the correct answer to a question, is it to her advantage or disadvantage…

A: Here given, Maria is taking a multiple choice exam in which there are five possible answers for each…

Q: When taking a 5 question multiple choice test, where each question has 4 possible answers, it would…

A: Given that, Number of questions in multiple choice test n=5 Probability of getting correct answer…

Q: How many ways are there to select three diamond earrings from a box of ten diamond earrings,…

A: Total diamond earrings = 10 We have to select three diamond earrings from a box. Order does not…

Q: If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is…

A:

Q: Before doing the ordering for a company barbecue, the manager took a poll to find out how many…

A: Given people who eat corn = 39 people who eat ribs = 57 people who eat hamburgers = 65 people who…

Q: A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work…

A: Given data,Number of multiple-choice questions=9Number of open ended problems =6In how many ways an…

Q: In how many different ways can a true-false test consisting of 9 questions be answered?

A:

Q: Maria is taking a multiple choice exam in which there are five possible answers for each question.…

A:

Q: When taking a 18 question multiple choice test, where each question has 4 possible answers, it would…

A: Given: Total number question = 18 The number of possible answers = 4.

Q: A math contest is made up of 52 multiple-choice questions each worth either 0 (if wrong or no…

A: This question is based on Observation.

Q: When taking a 10 question multiple choice test, where each question has 5 possible answers, it would…

A: Given data, n = 10 p = 1/5 = 0.2

Q: a physics exam consists of 9 multiple-choice questions and 6b open-ended problems in which all work…

A: Combination: A combination is a grouping or subset of items. for a combination, the order not…

Q: The Math Club consists of 15 members. Four of them will represent the school in a math competition…

A: Given that: No of members in math club = 15 No of selected member in competition = 4

Q: A geography test consists of fifteen ​true-false questions followed by six ​multiple-choice…

A: In this question, we have to answer this question A geography test consists of fifteen ​true-false…

Q: A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work…

A: He has to choose 5 questions from a group of 9 questions.  And 2 questions from a group of 6…

Q: When taking a 17 question multiple choice test, where each question has 3 possible answers, it would…

A: Note:Since no other information is provided, we have assumed that it will be unusual, if the…

Q: When taking a 18 question multiple choice test, where each question has 5 possible answers, it would…

A: Given :  n = 18 p = 1/5 = 0.2

Q: If there are 10 multiple-choice questions on an exam, each having three possible answers, how many…

A: From the provided information, There are 10 multiple-choice questions on an exam. Each question has…

Q: f there are eleven​multiple-choice questions on an​ exam, each having three possible​ answers, how…

A: Given that  Number of multiple choice questions in exam (n) = 11  Each question has 3 possible…

Q: avi got 18 out of 20 and Karla got 85% on the same test which one is greate

A: To determine which of the following is greater. Ravi got 18 out of 20 Karla got 85%

Q: How many ways are there to choose a dozen donuts from 18 varieties if there are only two varieties…

A:

Q: In a society where 60% of the citizens identify as liberal and 40% of the citizens identify as…

A: Here we want to know given statement is true or not.

Q: An exam consists of 25 multiple-choice questions and each question is worth 1 point.    10 of…

A: For the first type of question the probability that a question will be correct is 1/5  as there are…

Q: In a recent Gallup poll, 1003 randomly selected adults in the United States were asked if they have…

A: According to the provided information, 1003 randomly selected adults in the United States were asked…

Q: For this problem, assume the test had 7 true-false questions and 7 multiple-choice questions, and…

A: Each true-false question can be answered in 3 ways.  [True / False / Left blank] So 7 true-false…

Q: When taking a 8 question multiple choice test, where each question has 4 possible answers, it would…

A: When taking a 8 question multiple choice test, each question has 4 possible answers. Mean and…

Q: You have a pop quiz for which you haven't studied. The multiple choice quiz has 10 questions and 3…

A: Introduction to binomial distribution: Consider a random experiment involving n independent trials,…

Q: A TOTAL of 63 students preferred chocolate ice cream. Out of the 100 student responses, 43 were…

A: The contingency table is a two way table which is used to enter the data of two categorical…

Q: 5. The school has case of 144 donut holes and a case of 24 milks. If these are divided evenly among…

A: 5. Given  The school has case of 144 donut holes and a case of 24 milks.

Q: b) A multiple choice exam has 10 questions each with 4 possible answers and 6 additional questions…

A: Solution:

Q: Select the correct response. For a research study, there are five options for the first question,…

A:

Q: You have a test coming up that will consist of five true-false questions and five multiple choice…

A: There are only one way to answer correctly for true of false question and only one way to answer…

Q: When taking a 8 question multiple choice test, where each question has 4 possible answers, it would…

A: Mean and standard deviation:The mean and standard deviations are calculated as follows:

Q: If a student is to answer any six problems on a test consisting of nine problems, in how many…

A: Here the student is free to answer any 6 questions out of 9 problems.  So, we take the combination.

Q: A survey was conducted at University where 80 students were randomly asked whether they liked…

A:

Q: assume the test had 6 true-false questions and 8 multiple-choice questions, and that each…

A: There are 6 True-False questions.  So, each of these has 2 possible answers, so there are 26…

Q: If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is…

A: a) Since each question result in four different ways  The number of ways is multiplied by a number…

Q: There are 20 questions on a multiple choice exam, each with four possible answers. Which of the…

A: Option B is correct option.

Q: A 10-item multiple choice test has 3 choices for each question. In how many ways can the test be…

A: Given that all questions have 3 choices.   There are total 10 questions.

Q: For this problem, assume the test had 5 true-false questions and 7 multiple-choice questions, and…

A: Given data: The numbers of true-false questions are a=5. The number of multiple-choices is b=7. The…

Q: Angelee has to answer any six problems on a test consisting of ten problems. In how many different…

A: Given that  Number of problems test contains (n) = 10 Angelee has to answer questions (x) = 6…

Q: For this problem, assume the test had 8 true-false questions and 10 multiple-choice questions, and…

A: Given that there are 8 true or false questions and 10 multiple choice question and each multiple…

Q: From a group of 17 smokers and 23 ​nonsmokers a researcher wants to randomly select 6 smokers…

A: We have to find no. Of ways to select people.

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.