Answered: If two cards are drawn without…

If two cards are drawn without replacement from an ordinary deck, fnd the probabilities of the following results. The second is a face card, given that the first is a jack

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

Similar questions

At a local restaurant, you are allowed to pick one side with your dinner. Because you can only choose one, your side choice is mutually exclusive of all the other sides to chose from. On any given day, there is a 0.34 chance you will pick an fries, and a 0.1 chance you will pick an veggies. Today, you do not pick an veggies; what is the probability you pick fries today?
A friend of mine is giving a dinner party. His current wine supply includes 11 bottles of zinfandel, 9 of merlot, and 7 of cabernet (he only drinks red wine), all from different wineries. If 6 bottles are randomly selected, what is the probability that all of them are the same variety?
On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. (a) Find the probability that the team wins the debate. b sketch a tree diagram to model this process
A student takes a multiple-choice quiz with 5 questions, each with four possible answers and only oneof them is correct. A passing grade is 60% or better (i.e., answering at least 3 of 5 questions correctly).Suppose that the student was unable to find time to study for the exam and just guesses at eachquestion. Find the probabilities for the two events below.i. the student gets exactly 3 questions correct.ii. the student passes the exam
Week 7 Homework Question Q1. There exists a deck of 15 cards contain 5 red cards, 5 blue card and 5 green cards. The cards are in a random order, and I turn them over, one at a time: Card 1, Card 2, ..., Card 15 without replacement. In this case, evaluate the following probabilities. i. Card 3 is red ii. Card 1 is red and Card 2 is not blue iii. Card 5 is blue or Card 8 is green iv. Card 2 is green given that Card 1 is green v. A colour appears more than once in the first 3 cards
Troy has two number cubes each with the numbers 1 through 6 on it. Assuming each side is equally likely to appear when he rolls the cubes, he rolls both cubes and adds the two cubes together, find the following probabilities. A. P(rolls sum of 8) B. P(rolls a sum that is an even number) C. P(rolls sum that is a factor of 12) P(rolls a sum 8) P(rolls an even number) P(rolls a factor of 12) C 10
In a class of 31 students, 17 are dual-enrolled and 14 are not dual-enrolled. Suppose two students are randomly selected from the class (without replacement). Calculate the following probabilities. Round solutions to three decimal places, if necessary. P(Both Students are Dual-Enrolled) Enter an integer or decimal number [more..] P(1st Student is Dual-Enrolled and the 2nd Student is Not)
A bag of candy contains 100 individually wrapped candies. 22 of them are peppermint flavoured. Round all probabilities to four decimal points: If we pick 5 random candies, what is the probability that they are all peppermint flavoured? If we pick three random candies, what is the probability that exactly one will be peppermint flavoured? If we pick three random candies, what is the probability that at least one will be peppermint flavoured?
You have a bag of fourteen candies; 2 each of purple, green and yellow, and 4 each of pink and red. Calculate the following probabilities. Answer in fractions 2)What is the probability of choosing a purple first,then replacing it back into the Bag, and then choosing a red?
A monkey is to demonstrate that she recognizes colorsby tossing one red, one black, one white ball, one orange ball, and one purple ball into boxes ofthe same repsective colors, one ball to a box. If the monkey hasnot learned the colors and merely tosses one ball into each boxat random, find the probabilities of the following results:a. There are no color matches.b. There is exactly one color match.