c. A multiple-choice test consists of 15 questions each with five possible answers of which only one is correct. Suppose one of the students taking the test answers the questions by guessing. What is the probability that he answers at most 3 questions correctly?

Q: A bag contains 9 pennies, 6 nickels, and 5 dimes. If a coin is randomly selected from the bag, then…

A: We have given that,  A bag contains,  Pennies = 9 Nickels = 6 Dimes = 5 Total  = 9+6+5 = 20 Then, We…

Q: A quick quiz consists of 55 multiple choice problems, each of which has 44 answers, only one of…

A: We know : A quick quiz consists of 55 multiple choice problems, each of which has 44 answers, only…

Q: You go second in a three player game in which each player starts with three chips. Give your answers…

A: a)The probability that you have 6 chips afer your turn is complete=6C31728C6b) The probability that…

Q: You took a 5-question multiple choice quiz with 4 choices for each question.  If you guess at random…

A: Given information- A student takes a multiple-choice test that has 5 questions. Each question has…

Q: 1. In a 10-question, 5-answer multiple choice exam, a student who did not study decides to answer…

A: Probability is the chance of occurrence of observation can involve in the sample or event with equal…

Q: (i) If 3 dice are rolled, how many "6s" do you get on average? (ii) How many times on average do you…

A: Given: Number of dice rolls (n) = 3 Probability of 6 (p) = 16 Let X denote number of times 6 comes…

Q: 10. A multiple-choice test has 4 choices, one ofwhich is a correct answer. If a student just guesses…

A: ( 10 ) Given that n =4 , p= 0.25 ,p( x =3 ) =?

Q: A multiple-choice test contains 20 questions, each with four answers. Assume that a student just…

A: Solution: Let X be the number of correct questions and n be the number of questions. From the given…

Q: A multiple -choice test consists of 6 questions . Each question has answers choices of a,b,c,d, and…

A: From the provided information, Number of questions (n) = 6 Each question has answers choices of…

Q: A bag of the same size small balls contains 6 blue balls, 5 red balls, 5 yellow balls, and 4 green…

A: There is total 6 blue balls, 5 red balls, 5 yellow balls, and 4 green balls.

Q: 7. A student is taking a multiple-choice exam in which each question has four possible answers. She…

A: Note: Hi! Thank you for the question. As you have posted multiple independent questions, as per our…

Q: d) What is the probability that all the chips are 5 or less?

A: Given that  An Urn contains 10 Chips , Numbered 1 to 10.     [ 1  2  3  4  5  6  7  8  9  10 ]…

Q: Do you know what the message below says? If the 20 marbles used to spell the word are placed in a…

A:

Q: 13. The probability of passing a 100 problem test is 49%. If 5 people take the test, what is the…

A: We have given that,  X be the random variable from Binomial distribution with trails n= 5 and…

Q: A sociology teacher asked her students to complete a survey at the beginning of the year. One survey…

A:

Q: A quiz consisting of four multiple-choice questions has four available options (a, b, c, or d) for…

A: Total number of question in the quiz =4 Number of available option               =4 Consider the…

Q: People were asked which fruit is their favorite: apples, oranges, or bananas. The results showed…

A:

Q: 4. Suppose that the Oxnard College softball team has a 50% probability of winning every game they…

A: Given that, Probability of winning every game = 50% = 0.50Sample size , n =3

Q: In a Statistics test of 20 multiple choice questions with 5 choices with one correct answer each.…

A:

Q: A bag has 3 quarters, 5 nickels, and 2 dimes. Which is the probability of selecting a nickel and…

A:

Q: A teacher asks a class of 41 students about the sports they like. 17 of the students like tennis, 34…

A: First you will represent the given information in the form of a Venn diagram to make things simpler

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: A card is randomly selected from a well-shuffled standard deck of 52 cards.

Q: On a multiple-choice exam with 3 possible answers for each of the 5 questions, what is the…

A:

Q: Peppermint Patty is very discouraged about her chances on a 10-item true-false quiz. If she randomly…

A:

Q: Approximately 20% of the US population smokes cigarettes. A local government believed their…

A: Given data: The given percentage of the US population who smoke cigarettes are p=20%=0.20. The…

Q: A test consists of ten multiple choice questions each with five possible answers, of which only one…

A: Total number of questions=10 number of possible answers=5 Probability of guessing correct answer for…

Q: The probability of tossing a tail and then rolling a number greater than 6 is

A: Since , the coin is tossed and right-sided die numbered 1 through 8 is rolled. Our aim is to find…

Q: If one object is selected at random, what is the probability of selecting a ball or a pink object? *…

A: Given Information: A box contains 30 objects. Black balls = 8 Red balls = 9 Pink balls = 4 White…

Q: You decide to tell your fortune by drawing two cards from a standard deck of 52 cards. What is the…

A: Given problem Given that   You decide to tell your fortune by drawing two cards from a standard…

Q: Suppose you take a 20 question multiple choice test, where each question has four choices. You guess…

A: Givensample size(n)=20each question has four…

Q: > A multiple-choice test consists of 15 questions each with five possible answers of which only one…

A: Let X be the number of correct answerand p be the probability of correct optionn be the number…

Q: A multiple-choice test has 4 choices, one of which is a correct answer. If a student just guesses…

A: We have given that Probability of guessing correct answer p = 1/4 =  number of trial (n) = 3 Since…

Q: H.W: If there were 3 female engineers and 2 female accountants. What is the probability of choosing…

A: Here, there are 3 female engineers and 2 female accountants.

Q: A test consists of 10 multiple choice questions, each with five possible answers, one of which is…

A: Obtain the probability that that the student will get at most 8 answers correctly. The probability…

Q: A bag contains 9 pennies, 6 nickels, and 5 dimes. If a coin is randomly selected from the bag, then…

A:

Q: 3. Consider a roll of two 4-sided dice. A. How many members will the outcome set have? B. If the…

A: Given problem is : Consider a roll of two 4-sided dice. A. How many members will the outcome set…

Q: Beth is taking an eleven​-question ​multiple-choice test for which each question has three answer​…

A: Introduction: In a fair die, there are 6 possible outcomes, 1, 2, ..., 6, all of which are equally…

Q: (c) If they have 5 children, what is the probability that exactly 2 will have blue eyes? 0.0028 (d)…

A:

Q: You are taking a multiple choice test that you did not study for. If there are 9 questions, each…

A:

Q: On a multiple-choice quiz with four possible answers for each question, what is the probability of…

A: It is given that the On a multiple-choice quiz with 4 possible answers for each question. It means,…

Q: (a) What is the probability of it coming down heads five times and tails five times? (a) . (b) What…

A: Binomial distribution is most basic form of probability distribution . It forms the backbone of…

Q: Edward has to take a sixsix​-question ​multiple-choice quiz in his sociology class. Each question…

A: a.The probability that Edward will answer all the six questions correctly is,

Q: What are the possible outcomes when three coins are tossed simutaneously? What is the probability…

A: Ans -  The possible outcomes when three coins are tossed simultaneously          Sample space S =…

Q: A quick quiz consists of 5 multiple choice problems, each of which has 4 answers, only one of which…

A: We want to find the  (A) probability that all 5 are incorrect answer. (B) probability that all 5 are…

Q: In a three-coin experiment, what is the probability of getting a. 1 head? b. 2 heads? c. 3 heads?

A: When we toss three coins simultaneously then the total possible outcomes are: 23=8 That is, HHH,…

Q: If you make random guesses for 20 multiple choice test questions each with four possible answers,…

A: The random variable X is defined as the numbers of correct answers. There are four answer choices…

Q: An unfair coin, with P(heads) = 5/9, is flipped 5 times. What is the probability more tails than…

A: For an unfair coin, probability of heads coming up is given, then the probability of tails coming up…

Q: when rolling two dice, what is the probability of rolling a sum of seven if it is given that the sum…

A: On rolling two dices, the total number of outcomes are-…

Q: A teacher asks a class of 45 students about the sports they like. 20 of the students like tennis, 33…

A: Let us denote  T=Tennis B=Baseball   Given that n(T)=20, n(B)=33, n(T and B)=n(T∩B)=14 We draw a…

Q: Amy tosses a fair seven-sided die 4 times.  What is the probab

A: Given information: Amy tosses a fair seven-sided die 4 times. The total number of outcomes is,…

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.