Adam, Bill, Carl, David, Ellen, Fran and Ginger are all candidates for two identical jobs. If two candidates from this list are selected randomly, compute the probabilities of the following events: (i) Two males are selected (ii) Two females are selected (iii) One male and one female is selected (iv) Adam is selected (Note: Adam, Bill, Carl and David are males and Ellen, Fran and Ginger are females.)

Adam, Bill, Carl, David, Ellen, Fran and Ginger are all candidates for two identical jobs. If two candidates from this list are selected randomly, compute the probabilities of the following events: (i) Two males are selected (ii) Two females are selected (iii) One male and one female is selected (iv) Adam is selected (Note: Adam, Bill, Carl and David are males and Ellen, Fran and Ginger are females.)

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

6. A large group of people is to be checked for two common symptoms of a certain disease. It is thought that 20% of the people possess symptom A alone, 30% possess symptom B alone, 10% possess both symptoms, and the remainder have neither symptoms. For one person chosen at random from this group, find these probabilities (a) The person has neither symptom. (b) The person has at least one symptom. (c) The person has both symptoms, given that the person has symptom B.
A retailer of automobile parts has four employees, K, L, M, and N, who make mistakes in filling an order one time in 100, four times in 100, two times in 100, and six times in 100. Of all the orders filled, K , L, M, and N fill, respectively, 20%, 40%, 30%, and 10%. If a mistake is found in a particular order, what are the probabilities that it was filled by K, L, M, or N?
We have two boxes, box A (6 blue marbles and 8 red marbles) and box B (6 blue marbles and 2 red marbles). We randomly pick one box, and randomly pick a marble from it. If the marble we picked was red, what is the probability that we drew from the first box?
From a large survey of customers using a chain of coffee shops, 60% of the customers are male, 50% purchase food, 15% are both Male and purchase food. What are the probabilities that: A customer is both female and purchases food? A female customer purchases food? A customer purchasing food is female?
Adam, Bill, Carl, David, Ellen, Fran and Ginger are all candidates for two different jobs, a supervisor and a deputy. If two candidates from this list are selected randomly and the first person selected gets the supervisor job while the second person gets the deputy job, compute the probabilities of the following events: (i) Two males are selected (ii) Two females are selected (iii) One male and one female is selected (iv) Adam is chosen for one of the two jobs (v) Adam is chosen to be the supervisor
A high school class consists of 6 seniors, 10 juniors, 11 sophomores, and 5 freshmen. Exactly 2 of the juniors are male, and exactly 5 of the sophomores are female. If two students are randomly selected from this class, what is the probability that the pair consists of a female junior and a male sophomore?
A cook is preparing fruit jam for the festival next week. She has bought 30 apples from the farmer's market and unknown to the cook, 8 of these apples are not fresh. She will randomly select 10 apples to prepare the jam. What is the probability that she will use at least 3 of the apples that are not fresh for preparing the jam?
A secondary school is offering two extracurricular classes, one in Photography and theother in Swimming. These classes are open to all of the 250 students in the school.Suppose there are 48 students in the Photography class, 34 in the Swimming class, and12 who are in both classes. If a student is randomly chosen, what is the probability thatthis student is not enrolled in any one of these classes?
Suppose you have 3 events A,B,C and exactly one happens and are equally likely. There is another event E and we know P(E|A)=.4, P(E|B)=.7, and P(E|C)=.8. Suppose we don't know if A,B, or C was the event that happened, but we do know E happened. Find the three probabilities that A happened, B happened, and C happened.
Suppose you’re playing Texas Hold ’Em Poker, and you are dealt a hand witha Jack of Clubs and a Queen of Hearts. The river of 5 cards hasn’t been dealtyet, and you’re hoping to get a straight (5 cards with consecutive ranks, such as10,J,Q,K,A or 8,9,10,J,Q). What is the probability that you will get a straightthat uses both the Jack and Queen in your hand? (This last part is to keep theproblem simple, since it’s possible to get a straight that uses neither card in your hand, suchas A,2,3,4,5, all in the river. Besides, in those cases, ALL players would have a straight, sothat’s not so good for you!)Guide: Our goal is to calculate:P(straight using both cards in hand) = # 5-card combinations that get us a straight with the J & Q# 5-card combinations overall .(a) We’ll start with the denominator, which can be done with a singleformula from class: How many 5-card combinations are possible for theriver? (Keep in mind what is in your hand. Note that how many opponents you haveand what…