An exam consist of 30 multiple-choice questions in each is worth one point. 15 of these questions present five answer options to choose from only one is the correct answer. 12 other questions present six answer options to choose from, one of which is the correct answer. Of the remaining questions each present 3 answer options to choose from, and only one of which is the correct answer. How many correct answers would be expected if the exam were taken by an unprepared student who picked at random from the answer options?

An exam consist of 30 multiple-choice questions in each is worth one point. 15 of these questions present five answer options to choose from only one is the correct answer. 12 other questions present six answer options to choose from, one of which is the correct answer. Of the remaining questions each present 3 answer options to choose from, and only one of which is the correct answer. How many correct answers would be expected if the exam were taken by an unprepared student who picked at random from the answer options?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: players. There are 8 teams in the league. Each player has 2 uniforms. it costs $5 to dry clean 2…

Q: Susan is attempting to calculate what grade she needs on her Biology final exam in order to make an…

A: Here we solve this problem using inequality.

Q: The median of the five test scores is 82. If four of the grades are 65, 93, 77, and 82, what can…

A: Given, Median of 5 scores=82 Four grades are 65,93,77,82 5th grade=?

Q: To get a B in math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests…

Q: Discount Value X 0 9 Probability 21 26 31 0.25 0.30 0.25 0.10 0.10

A: Here the given information is On valentine's day, the Quiet Nook restaurant offers a Lucky Lovers…

Q: A hockey season ticket holder pays $72.48 for her tickets plus $6 for a program each game. A second…

A: A hockey season ticket holder pays $72.48 for her tickets plus $6 for a program each game. A second…

Q: A study found that the average home price for 14 houses in one community was $285,000. Two more…

A: We need to find new average price.

Q: A study found that the average home price for 14 houses in one community was $285,000. Two more…

Q: A raffle is being held to benefit the local animal shelter. They sell 644 tickets that do not win…

A: They are selling total (644+6+1) = 651 tickets We make a probability distribution for winning…

Q: The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The…

A: Given Information : The college hiking club is having a fundraiser to buy new equipment for fall…

Q: John and Jamal have a total of $87. John has $38 more than Jamal. How much does Jamal have? How much…

Q: John's math course requires 5 tests. His first 4 grades were 72, 89, 91, and 93. To end up with an…

Q: Assume that the pond contains 90 fish: 76 orange, 13 blue, and 1 green. A contestant pays $0.55 p…

A: Given, the pond contains 90 fish: 76 orange, 13 blue, and 1 green. A contestant pays $0.55 to…

Q: bag of lollipops is shared among a group of children, where each child receives 10 lollipops. 6 more…

Q: The college hiking club is having a fund raiser to buy new equipment for fall and winter outings.…

A: We have given that The club sold 571 cookies before the drawing.

Q: Ryan will spend at most $40 on gifts. So far, he has spent $22.What are the possible additional…

A: A detailed solution is given below.

Q: Mr. Powers gave a coin to each of the 25 children who came to his door for a treat last Halloween.…

A: Let the number of dimes be d and number of nickels be n.Given total number of coins are 25.Hence,d +…

Q: A group of 10 people ran an average of 2.7 miles in one week. If the first 4 people in the group…

Q: To get a B in math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests…

A: Given, Scores on the first four tests are 81,76, 83, and 77.

Q: If 14% of the people in the school are 210 people, how many people are in the school?

A: 14% of the people in the school are 210 then find how many people means 100%

Concept explainers

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.

Question

How many correct answers would be expected if the exam were taken by an unprepared student who picked at random from the answer options?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Fundamental Counting Principle$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

You have 3 tests each containing 100 multiple choice questions where each question has 5 possible answers. You win $1000 if you and some friends of yours can answer 14 questions correctly. You have the following choices. First, choose which test to use. Second, choose 14 questions from the selected test to answer. Third, choose 5 of your 8 friends to answer a question. Fourth , choose one question for each of the 5 to answer. Finally, you get to answer the remaining questions. How many choices do YOU have overall?
Blake and April are both taking AP Calculus, but they have different teachers who have two different grading systems. Blake is in Mr. Frey’s class and April is in Coach Smith’s class. Blake is mad because she thinks that with her averages, she would have a higher average in Coach Smith’s class. Given her averages below, what would be her overall average for each class? Round to the nearest whole number. Mr. Frey’s Class (Blake) Coach Smith’s Class (April) Test 35% Quiz 20%Homework 10% Classwork 15%Final Exam 20% Test 45%Quiz 20%Homework 10% Classwork 10%Final Exam 15% Test Quiz HW CW Final Exam 84 75 90 85 90 Blake’s grade with Mr. Frey Blake’s grade with Coach Smith
Based on your decisions from the previous problem, find the correct number of possible options for each situation. A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals. Wilbur has homework assignments in seven subjects. He only has time to do five of them. The batting order for 9 players on a team of 11 players. A class of 20 students needs to elect 4 student council representatives.
Tom, Bill, Susan and Sandy went bowling. Toms' score was 132, Bills' score was 140, Susan scored 145 and Sandys' score was 128. What was the average score of all four bowlers?
The band is holding a raffle this year and will give away four cash prizes of $100, $500, $1000, and$5000. Their goal is to raise a profit of at least $6,000. If the tickets sell for $10 each and there are 74band members, how many tickets will each band member need to sell in order to meet their goal?
if ther was 4 students and 20 paper clips how many will the students get
Andrew and Ryan shared some chocolates. Andrew gave away 1/4 of his chocolates. 1/4 of the given chocolates were taken by Ryan. Ryan then had the same number of chocolates as Andrew. If Andrew gave away 12 chocolates, how many chocolates did each of them have at first? Answers : Alex = 48 Ryan = 33
A Math competition had 120 winners. 75% of them win either bronze or gold medals. 60% of them win either gold or silver medals. Find the difference between the number of winners who win gold medals and the number of winners who win bronze medals.
John's math course requires 5 tests. His first 4 grades were 76, 60, 94, and 61. To end up with an average score of at least 74.8, what is the lowest score John will need on the fifth test?
A test contains 12 problems. The teacher gives 24 points for each correctly solved problem and withdraws 15 points for incorrectly solved problems. If a problem is not solved it is considered incorrect. Ron claims he got a zero for the test. That is impossible says Mia. Is there any reason for mia to say that?