In a history class, Colin and Diana both take a multiple choice quiz. There are 10 questions. Each question has five possible answers. What is the probability that: a) Colin will pass the test if he guesses an answer to each question? b) Diana will pass the test if she studies so that she has a 75% chance of answering each question correctly?

In a history class, Colin and Diana both take a multiple choice quiz. There are 10 questions. Each question has five possible answers. What is the probability that: a) Colin will pass the test if he guesses an answer to each question? b) Diana will pass the test if she studies so that she has a 75% chance of answering each question correctly?

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: During his term living abroad, Quinn made a list of famous buildings to visit. Of the 10 buildings…

Q: A committee of four people will be selected among a group of 15 engineers. The committee will have…

A: 15-engineers4 positions : President Secretary Treasurer…

Q: At Jimmy's, an old fashioned barber shop in downtown Victoria, 80% of all customers get a haircut,…

A: Let A be the event that the customer will get a haircut and B be the event that the customer will…

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 cave dweller has a choice between 3 paths. Each path has the possibility of leading to treasure.…

A: Solution

Q: A modified roulette wheel has 32 slota. ONE Slot is 0, another is 00, and the otheres are numbered 1…

A: 0 and 00 are neither odd nor even. In 1 through 30, there are 15 even numbers. So number of chances…

Q: During his term living abroad, Quinn made a list of famous buildings to visit. Of the 9 buildings on…

Q: Alice has 8 pennies, 4 nickels, 2 dimes, and 6 quarters in her pocket. If one coin is drawn…

Q: A student takes a multiple-choice exam, where each question has five possible answers. At the end of…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: The contestant selects a box at random and selects a bill from the box at random. If a $100 bill is…

A: Let us define some events A : bill is from box 1. B : bill is from box 2. C : bill is from box 3. D…

Q: Fred and Wilma argue over how many children they should have. Fred wants at least 5 boys. If Fred…

Q: You have a homework assignment that contains 12 questions. Your instructor will grade a set of 5…

A: Given: Total number of questions, n = 12 5 questions would be graded Part 1: The total…

Q: You randomly select one card from a 52-card deck. Find the probability of selecting the king of…

A: It is known that Number of cards in a deck = 52 Number of king of diamonds = 1 Number of two of…

Q: Leroy has one quarter, one dime, one nickel, and one penny. Two of the coins are in his left pocket…

A: Probability:The formula for probability of an event is given as follows:

Q: If you have to answer 14 multiple choice questions, with each question having 7 choices, what is the…

A: The objective of this question is to find the probability of getting 6 or more correct answers out…

Q: In Alex's drawer she has 11 pairs of socks, 4 of which are white, and 15 tee shirts, 2 of which are…

A: Given, Alex's has 11 pairs of socks, 4 of which are white. Alex's has 15 tee shirts, 2 of which are…

Q: A bag of candies contains 14 jolly ranchers, 6 skittles, and 10 chocolates. What is the probability…

A: Solution: From the given information, a bag contains 14 jolly ranchers, 6 skittles and 10…

Q: A roulette wheel has 38 slots. One slot is 0, another is 00, and the others are numbered 1 through…

A: The total number of outcomes are 38 The favorable outcomes are the number of odd numbers i.e 36/2…

Q: For Jermaine’s birthday, he can choose his gift from a stack of 4 sealed cards. Each card has one of…

A: Solution: For Jermaine’s birthday, he can choose his gift from a stack of 4 sealed card Let X…

Q: Given a standard deck of fifty-two playing cards (no jokers and Aces high), find the probability of…

A: Total face card in a deck of fifty-two playing cards = 12

Q: A slot machine has 3 dials. Each dial has 30 positions,one of which is "jackpot". To win the jackpot…

A: We need to recall that odds of winning the jackpot is given by: probability of winning the…

Q: During his term living abroad, Quinn made a list of famous buildings to visit. Of the 18 buildings…

Q: From a group of 10 choldren, a team of 5 (the red team) is randomly chosen. The remaining 5 children…

A: Given from a group of 10 children, a team of 5 children is randomly chosen. The remaining 5 children…

Q: A biology quiz consists of 10 multiple-choice questions. 6 must be answered correctly to receive a…

Question

In a history class, Colin and Diana both take a multiple choice quiz. There are 10 questions. Each question has five possible answers. What is the probability that:

a) Colin will pass the test if he guesses an answer to each question?

b) Diana will pass the test if she studies so that she has a 75% chance of answering each question correctly?

Video Video

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: Given Information:

VIEW

Step 2: Find the probability that Colin will pass the test if he guesses an answer to each question:

VIEW

Step 3: Find the probability of part (b)

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices – a , b , c , d , e – and only one correct answer. What is the probability that he answered both of the problems correctly? Do not round your answer. (If necessary, consult a list of formulas.)
There are four horses named An, Bob, Cat, and Don. They are in a race where no ties are possible. Ann is twice as likely to win as Cat. Cat is twice as likely to win as Dan. Bob has a 30% chance of winning. What is the probability that Ann wins? 20% 30% 40% 50% 60% 70% 80% 90%
Karey has three movie choices. She can choose between a comedy, a drama, or a thriller. She will want a snack as well. Her choices are popcorn, nachos & cheese, potato chips, or peanuts. What is the probability that she will watch a thriller and eat popcorn?
A quiz consists of five multiple choice questions. Each question has four choices. A student guesses randomly on every question. What is the probability that the student answers at least four questions correctly?
Find the indicated probability. A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly?
Beth is taking an eleven question multiple-choice test for which each question has three answer choices, one of which is correct.Beth decides on answers by rolling a fair die and marking the first answer choice if the die shows 1 or 2 ,the second if the die shows 3 or 4,and the third if the die shows 5 or 6. Find the probability of the stated event. Exactly five correct answers. The probability of Beth getting exactly five correct answers is
Pablo randomly picks five marbles from a bag of eleven marbles (six red ones, three green ones, and two yellow ones). How many outcomes are there in the event that all of the marbles he picks are red?
A slot machine has 3 dials. Each dial has 30 positions, one of which is "Jackpot". To win the jackpot, all three dials must be in the "Jackpot" position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot? 1/30 = 0.03 or 3% 3/(30+30+30) = 3/90 = 0.33 or 33% 3/(30×30×30) = 3/27000 = 0.0001 or 0.01% 1/(30×30×30) = 1/27000 = 0.00003 or 0.003% Question 18
Three students ABC are in a running race. A and B have the same probability of winning and each is twice as likely to win as C. Find the probability that B or C wins.
A student takes a 28-question multiple-choice exam but did not study and randomly guesses each answer. Each question has three possible choices for the answer. Find the probability that the student guesses more than 75% of the questions correctly.