Kristina Karganova invites 12 relatives to a party: her mother, 3 aunts, 2 uncles, 2brothers, 1 male cousin, and 3 female cousins. If the chances of any one guest arrivingfirst are equally likely, find the probabilities that the first guest to arrive is as follows.(a) A brother or an uncle(b) A brother or a cousin(c) A brother or her mother(a) The total number of outcomes is(Type integers or simplified fractions.)and the number of outcomes in the event is

Total number of relatives. n= 12Mother=1Number of uncles =2number of aunts=3Number of brothers= 2And…

Answered: Kristina Karganova invites 12 relatives…

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...

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One student is selected at random from a group of 200 known to consist of 140 full-time (80 female and 60 male) student and 60 part-time (40 female and 20 male) students. Event A is "the student selected is full-time" and event C is "the student selected is female". (a) Are events A and C independent? (b) Find the probability of one student selected is full-time, that should be female.
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.
7. A drawer contains 6 black socks, 4 brown socks, and 2 green socks. Suppose one sock is drawn from the drawer and that it is equally likely that any one of the socks is drawn. Find the probabilities for each of the following: a. The sock is brown b. The sock is either black or green c. The sock is red d. The sock is not black
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 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
Hey! Need help with the following problem, thank you! Contains three parts (a-c).
3. All of the morning math classes are filled & Lisa has a decision to take either Mrs. Fowler or Mr. Williams in the afternoon, what is the probability of Lisa taking a Mrs. Fowler or Mr. Williams in the afternoon? 4. Lisa's school counselor informs her all of Mrs. Fowlers classes are filled. The school adds another teacher Mrs. Jackson. She will teach (1ª, 3rd, 5th, and 6th). What is now the probability of getting Mrs. Jackson for math in the morning?
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…

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