Let A be a subset of the set {1,2,...,n}. The number of elements of A is r, 1<=r<=n (|A| = r). What is the probability that A does not contain any consecutive elements?
Q: is known that the probability of winning the matches played by Galatasaray Professional Football…
A:
Q: k Q1) c- The probability of twice withdraw the same ball from a box contains 25 balls, 5 balls are…
A: Total no: of balls=25 White balls=5 blue balls=7 black balls=9 no: of ways =
Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…
A:
Q: 1. Three cards are drawn in succession, without replacement, from an ordinary deck of playing cards.…
A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…
Q: None
A: To solve these problems, we use the binomial probability formula. The binomial probability formula…
Q: A study of 1000 randomly selected flights of a major airline showed that 798 of the flights arrived…
A: Given that A study of 1000 randomly selected flights of a major airline showed that 798 of the…
Q: Assume that it is equally probable that the pointer will land on any one of the eight numbered…
A: Given : Assume that it is equally probable that the pointer will land on any one of the eight…
Q: Suppose that colored balls are distributed in three indistinguishable boxes as follow: A box is…
A:
Q: Let X and Y denote the sets containing 2 and 20 distinct objects respectively and F denote the set…
A:
Q: three students are chosen from 2 freshmen, 5 sophomores, and 5 juniors. What is the probability of…
A: The probability of selecting 2 freshmen and 1 junior is, Thus, the probability of selecting 2…
Q: Let us say we have sets/events A, B, and C (do not assume independence). Show that P(A \ B \ C) =…
A: Given: 3 events are given A, B, C Note: I am assuming that in place of (/ or \) their is…
Q: a) The number of red balls in :the box before addition is
A: Total no: of balls=25 let x be the no: of red balls in the box and 25-x be the no: of blue balls…
Q: Q4) A box containing a group of balls (blue and red) totaling 25 balls. If another Five blue balls…
A: Given that: There are 25 balls of red and blue colors. Then 5 balls are added so the total balls is…
Q: A drawer contains n different and distinguishable pairs of socks (a total of 2n socks). A person…
A: In the realm of probability theory, we are presented with an intriguing scenario: a drawer…
Q: For any event A, show that A and ∅ areindependent.
A:
Q: Events A and B of a probability space (Ω,F,P) are independent. The probability that the both occur…
A:
Q: The probability that a baseball player hits a home run is greater than the probability that he gets…
A: Option D is correct. Because the definition of a home run is a successful hit, so the probability…
Q: A die is thrown 8 times. If getting a 2 or 4 is a success. Find the probability of i) 4 succesS…
A:
Q: A particle starts from the origin and moves in a certain direction for a distance 1₁. Then it…
A:
Q: A certain tennis player makes a successful first serve 72% of the time. Assume that each serve is…
A: Note:- "Since you have posted a question with multiple subparts we will provide solutions only to…
Q: Let A, B, and C be three events, such that each event has a probability of 1/2, each intersection of…
A: GIVEN Let A, B, and C be three events P(A)=P(B)=P(C)=1/2…
Q: Q3. There are 4 black, 5 blue and 3 red fish in a fish tank. If we randomly select three fish from…
A: Solution: Q3. From the given information, a fish tank contains 4 black, 5 blue and 3 red fish. Total…
Q: Let A and B be subsets of a universal set U and suppose n(U) = 380, n(- n(AC n B)
A: Given,n(U) = 380n(A) = 145n(B) = 70And = 50
Q: Let F be an event space. (a) Show that A\ B € F whenever A, B E F.
A:
Q: Use Bayes' theorem to solve this problem. A storeowner purchases stereos from two companies. From…
A: 650 stereos are purchased form company A 950 stereos are purchased from company B…
Q: 100 11 12 130 14 Question 20 A box contains ten balls, numbered 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. If…
A: Given information- A box have 10 balls which are numbered 0 to 9. Finding the probability of- a) An…
Q: Given are n boxes, each containing n−1 balls. Specifically, the i-th box contains i−1 white balls…
A:
Q: What is the probability that a randomly number chosen from the set {1, 2, 3, 4, …, 2020, 2021}…
A: Let given set be S=1, 2, 3, 4, ..., 2020, 2021. Here, nS=2021 We have to find the probability that a…
Q: a) In a private school students can choose only of French, Spanish or Music as their Elective. In a…
A:
Q: 15. On Main Street, there are three traffic lights which operate independently. Each light is red…
A: It is an important part of statistics . It is widely used in statistics .
Q: Let S = {-3,-1,0, , 1, v3, 3, 9}. Which subset of 1 S contains the elements that satisfy the…
A: Given- S=-3,-1,0,13,1,3,3,9 To Find- The subset of S that contains the elements that satisfy the…
Q: If S = {1, 2, 3, 4, 5, 6}, A is the set of elements of S that are less than 5, and B is the set of…
A: S={1,2,3,4,5,6} , A={1,2,3,4}, B={2,4,6} A and B={2,4}
Q: Which statement below is not a basic probability rule for events A and B ? A) P(entire sample space)…
A: Mutually exclusive events: Two events are said to be mutually exclusive events if they cannot occur…
Q: Suppose that start companies in chemistry have the probability 0.2 of profitability and that those…
A: Let A denote the event that a chemistry company becomes profitable. Let B denote the event that an…
Q: Among the 2 ≤ k ≤ 7 people at a watch party, what is the probability that at least two of them were…
A: We have n=6 people ,m=7 : number of days in a weekX persons out of n people have same birthday is…
Q: Let S = {1,2,3,4}. Determine the set {A € P(S) : |A| = 2 }.
A: Let S = {1, 2, 3, 4}
Q: Let A, B 2 subsets of the set {1,2,...,n}, The number of elements of A, and the number of elements…
A: Solution: From the given information, the set is {1, 2,……..,n}. The two subsets are A and B.
Q: Let H be the event that a job candidate is hired, and let Q be the event that a job candidate is…
A: Given that H = the event that a job candidate is hired Q = the event that a job candidate is well…
Q: Let A and B be independent events on the probability space (Ω, ?, P). Prove that the complement of A…
A:
Let A be a subset of the set {1,2,...,n}. The number of elements of A is r, 1<=r<=n (|A| = r). What is the
Given information:
Let A be a subset of the set . The number of elements of A is r, .
Step by step
Solved in 2 steps
- Q2) 10 cards numbered 1-10 are Shuffled. The top and bottom card are chosen. S: Sum of the two cards. Find the probability distribuhon of S, E(S), E (S²) and Var (x)7) Tyrone conducted an experiment with a spinner. He spun the arrow on the spinner 20 times and recorded the results in the table shown. Experiment Results B A Letter Number of Times A 12 B 4 A C 4 Which inequality correctly compares the experimental probability of the arrow landing on a space marked with the Letter A to the theoretical probability of the arrow landing on a space marked with the Letter A? D)글< v vLet F and G be event spaces over 2. Show that FNG is also an event space over 2.
- d) Find P(Rents | Cat)e) Is the probability of renting an apartment independent of having a dog? Show the work that led to your answer5. Brett is off to college . There are 1000 additional new male students, and one of them will be randomly assigned to Share Brett's dorm room. He is hoping that it won't be someone who like s to party or who snores. Use the table below to answer the following questions: Snores (S) Doesn't Snore (DS) | Total 150 Likes to Party (LP) Doesn't Like to Party (DP) Total 250 200 350 550 750 650 1000The probability that a person owns a car is 0.85, that a person owns a laptop is 0.45, and that a person owns both a car and a laptop is 0.35. If a person is selected at random, a) Find the probability that the person owns either a car or a laptop. b) Find the probability that the person has a laptop given that he has a car also. c) Find the probability that the person has neither a car nor a laptop. d) Show that the events 'own a car' and 'own a laptop' are not independent.
- Six digits are chosen randomly from the set {0, 1,2,.....9). a.) What is the probability that all six digits are the same? b.) What is the probability that only 2 digits are the same?The TAs invite some other friends to join in on their Barbie watch party. Among the 2 ≤ k ≤ 7people at the watch party, what is the probability that at least two of them were born on thesame day of the week?If we roll a 6 sided die calculate p(rolling 4) in probability an even is any particular outcome or group of outcome. The set of a possible outcome is
- Let A and B be two events such that the probability of B is 0.5 and the probability of both is 0.2. Find the probability of A given that B occurs.Q4) A box containing a group of balls (blue and red) totaling 25 balls. If another Five blue balls are added to the box, the probability of drawing a blue ball will be tetra-plicate (4 times) :that of a red ball. Thus c) The probability of drawing :red ball before addition is 0.15 0.24 0.51 O 0.73 O none of all above OUse Baye's Theorem in solving the problem. Don't solve if not Baye's Theorem. Show all solutions. A state senate has 120 senators; 75 are democrats and 45 are republicans. Of the Democrats, 45 are liberal and 30 are conservative. Of the republicans, 30 are conservative and 15 are liberal, A.) Given that a senator is democrat, what is the probability that he or she is a liberal? B.) Given that a senator is conservative, what is the probability that he or she is a republican?
