A bag contains 10 black marbles, 3 white marbles and 2 red marbles. Ahmed picks up a marble at random from the bag without replacing and pick up another marble. Draw a tree diagram and find the probability of a) One of the marbles is white. b) At least one marble is black: c) At least one the marbles is red, given that the first one white

Q: An urn contains 2 red, 4 blue, and 2 green balls. If 3 balls are randomly selected, what is the…

A:

Q: Suppose a researcher determined that 49.3% of people 18-34 years old in the United States are men.…

A: Formula for conditional probability  : The probability of event A, given that event B has occurred…

Q: Out of the 2000 students who attend a certain high school, 1400 students own cell phones, 1000 own a…

A: As per given by the question, there are 2000 student who attend a certain high school and out of…

Q: In a bag filled with 35 pcs. of marbles, 12 are blue, 5 are green, 3 are white, 10 are red and 5…

A: We have the following information: Total no. of marbles in the bag= 35 No. of blue marbles = 12 No.…

Q: One red die and one blue die are rolled at the same time. Assuming that both dice are fair, how many…

A: Two fair dies are rolled. The first die is red and the second is blue. An experiment consists of…

Q: Consider a collection of 3 Red 3 Blue 1 Green 1 Yellow Envelope if 3 are selected at random without…

A: Given,   Number of Red = 3 Number of Blue = 3 Number of Green = 1 Number of Yellow = 1   Total = 8…

Q: Suppose that a bag contains 43 red balls, 54 blue balls, and 72 green balls, and that 2 balls are…

A: Given: Bag has 43 R , 54 B , 72 G 2 balls are chosen at random without replacement

Q: In a bag filled with 35 pcs. of marbles, 12 are blue, 5 are green, 3 are white, 10 are red and 5…

A: The possible chance of occurrence of an event is calculated using the probability. It is calculated…

Q: In a factory, in a batch of 100 products, there are on average 3 of defected ones. Probability of…

A: Given: n=100 and x=3 Then,p=xn=3100=0.03

Q: if 4 cards are selected from a standard deck of 52 cards without replacement, find probability at le…

A:

Q: In a class of 260 Seniors, 93 study Spanish, 95 study Chemistry, 165 study Mathematics, 18 study…

A:

Q: Consider a collection of envelopes consisting of 1 red, 1 blue, 1 green and 3 yellow envelopes. If 3…

A: Given that the envelopes consisting of 1 red, 1 blue, 1 green and 3 yellow envelopes. The total…

Q: Assume that there are 15 cars: 10 Chevrolets, 4 Fords, and 1 Toyota. Two cars leave at random, one…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Among the 30 applicants for a position at a bank, 18 are married, of which 6 have some banking…

A:

Q: An engineering company has four openings and the applicant pool consists of 6 database…

A: Number of applicants who are database administrators = 6 Number of applicants who are network…

Q: An urn has 18 balls that are identical except that 6 are white, 5 are red, and 7 are blue. What is…

A: Given that, An urn has 18 balls that are identical except that 6 are white, 5 are red, and 7 are…

Q: Assume that the human resource managers are randonm Selected 38% day job applicants should follow up…

A: Given,n=7p=0.38Let X=no.of job applicants should follow up working two weeksX~Binomial(n=7 ,…

Q: Suppose there are 8 pieces in a box, of which 3 are defective and 5 are perfect. If 3 pieces are…

A:

Q: How many ways are there to arrange on a shelf 4 copies of a C++ book, 3 copies of a probability…

A: 1) Total number of books = 4 + 3 + 6 Total number of books = 13 Number of ways to arrange on a…

Q: Assume two marbels are drawn without replacement from a box with 1 blue ,3 white, 2 green and 2 red…

A: The number of blue marble is 1. The number of white marble is 3. The number of green marble is 2.…

Q: Consider strings of length n over the set {a, b, c, d}. a. How many such strings contain at least…

A:

Q: Suppose that 10 employees are to be divided among three jobs, with three employees going to job 1,…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…

Q: If a coded item in a catalogue begins with 3 distinct letters followed by 4 distinct non-zero…

A:

Q: There are 12 red balls and 11 blue balls in a bowl. Without looking at the balls, a woman chooses…

A: Solution We have given that  12 red ball and 11 Blue balls  Part 1 As there are 2 colours of balls…

Q: Suppose a dog has a litter of 13 puppies. Of those 13 puppies, 5 are brown, 4 are white, and the…

A: Ans#-Givan, A dog has a litter of 13 puppies. Of those 13 puppies, 5 are brown, 4 are white, and…

Q: A local factory has two machines and six machine operators.   What is the probability of one…

A: Given: There are 2 machines and 6 machine operators. Required: To find the probability of one…

Q: Prove that if twelve rolls are made with two dice then at least two such rolls yield the same sum of…

A: Sample Space: In probability theory, a sample space is defined as the set of all possible outcomes…

Q: Assume that a flower bed contains 40 flowers. Suppose that 8 of the flowers are white, 8 of the…

A: Introduction: If r distinct items are to be chosen from n items without replacement so that the…

Q: Suppose that the population of a certain town is made up of 40% men and 60% women. Of the men, 40%…

A: Given,  In a population 40% men and 60% women. Of the men 40% wear glasses and of the women 20% wear…

Q: Suppose four active nodes-nodes A, B, C and D-are competing for access to a channel using slotted…

A:

Q: When seven basketball players are about to have a​ free-throw competition, they often draw names out…

A: Given that: Number of basketball players, n=7 Required probability: All 7 of them will shoot in an…

Q: In a survey of 1200 people, 80 indicated they were going to buy a new car, 70 said they were going…

A:

Q: In a class of 260 Seniors, 93 study Spanish, 95 study Chemistry, 165 study Mathematics, 18 study…

A: Data visualization is the process of denoting the numerical data visually. Data visualization can be…

Q: probability that the permutation begins with a vowel.

A: The word is PERMUTATION and A,E,I,O,U are vowels in it and T is repeating two times.

Q: a) The letters of the word CREATION are each written on a card and the card are then shuffled and…

A: here given, The letters of the word CREATION are each written on a card and the card are then…

Q: Suppose there are 56 red balls and 103 yellow balls in a box. Two balls are drawn from the box…

A:

Q: A bag contains 10 black marbles, 3 white marbles and 2 red marbles. Ahmed picks up a marble at…

A: Given that, 10 black marbles 3 white marbles 2 red marbles

Q: Of 120 students, 70 are studying Calculus, 50 are studying Filipino and 20 are studying Calculus and…

A: Of 120 students, 70 are studying Calculus, 50 are studying Filipino and 20 are studying Calculus and…

Q: Suppose a coin with Pr[H] = 2/3 is flipped 3 times. Using a tree, find the probability that heads…

A: Given: Pr[H]=23. Tree representing 2 heads in three  flips are shown below:

Q: Suppose that a box contains one blue card and four red cards, which are labeled A,B,C & D. Suppose…

A:

Q: A bowl contains 13 marbles of which 4 are red, and 6 is black. One marble is selected at random bowl…

A: 1) No.  Each outcome of the possible outcomes S= {red, white, black}  is not equally likely because…

Q: Of seven coastal lighthouses in the same area, three are designed by a certain well-known architect.…

A: Probability The term "probability" refers to the possibility of something happening. Researchers can…

Q: At a state university, 75% are undergraduates, 15% are graduates and 10% are in special program.…

A:

Q: There are two bags of marbles. Each bag has 1 red and 1 blue marble. First, a marble is drawn from…

A: A tree diagram is a diagram which shows all the possibilities for an event to happen. Each node of…

Q: Suppose there are eight red balls and eight yellow balls in a box. Two balls are drawn from the box…

A: There are total (8+8)=16 balls in the box.  We can pick the first ball in 16 ways and the second…

Q: Consider the PINS made from exactly three symbols chosen from the 26 letters of the alphabet with…

A: We have to given that there are PINs made from exactly three symbols chosen from the 26 letters of…

Q: Suppose there are four red balls and three yellow balls in a box. Two balls are drawn from the box…

A:

Q: 2. If a coded item in a catalogue begins with 3 distinct letters followed by 4 distinct non-zero…

A: Given, If a coded item in a catalogue begins with three distinct letters followed by 4 distinct…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.