nd the probability that if 4 sticks are rarndomly arranged in a row, they will be arranged in order of increasing size.

Q: In a supermarket there are 180 customers, 145 of whom will buy at least 1 item. If 4 customers are…

A: We have to find given probability.

Q: A monkey is given 12 blocks: 3 shaped like squares, 3 like rectangles, 3 like triangles, and 3 like…

A: Total blocks = 12  Square = 3  Rectangle = 3  Triangle = 3  Circles= 3  Order matters  If it draws…

Q: Suppose a box contains 7 red balls & three blue balls. If 5 balls are selected at random without…

A: Hypergeometric distribution is given by

Q: Urn 1 contains 7 red balls and 1 black ball. Urn 2 contains 3 red balls and 1 black ball. Urn 3…

A:

Q: The surface of a circular dart board has a small center circle called the bull's-eye and 20…

A: Given If a person hits the bull's-eye with probability 0.01 hits a double with probability 0.10,…

Q: An AIMS student walked into a room where he found N pieces of wire. After finding the 2V ends, he…

A: To find the expected number of loops formed from joining the wire ends, let's approach it step by…

Q: In a class with 50 students, 25 students constantly have their lunch in the cafeteria and 10…

A: Consider A denotes having lunch in the cafeteria and B denotes having lunch in the canteen.

Q: The probability that a student in Oakland will receive a B in Kathy Williamson's statistics class is…

A: Given that, The probability that a student in Oakland will receive a B in Kathy Williamson's…

Q: A fair coin is tossed 3 times. Find the probability of tossing 3 tails in a row,  answer as a…

A: Let H denote heads Let T denote tails Let S be sample set   S={ HHH, HHT, HTH, THH,       TTT, TTH,…

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: We have an empty 4X4 grid. We then place 4 apples at random in different squares of the grid. What…

A: Let us represent 4X4 grid by coordinates (i,j) where, i =1,2,3,4 and j = 1,2,3,4 So, there are 4*4 =…

Q: A cubic die was rolled 1200 times and the outcomes were recorded.  The records show each even…

A: Introduction: It is required to find the probability of each outcome n = 1, 2, 3, 4, 5, 6, when the…

Q: Of 2274 people who came into a bank to do business, 280 people made a deposit. Estimate the…

A: It is given that the number of people made a deposit is 280 and the total number of people who came…

Q: an ice just contains 4 cans of apple juice 8 cans of grape juice 5 cans of orange juice and 4 cans…

A: Solution: From the given information, an ice just contains 4 cans of apple juice, 8 cans of grape…

Q: A group of 90 students is to be split at random into 3 classes of equal size. All partitions are…

A: Given : Total 90 students.

Q: In a club with 7 male and 15 female members, a 6-member committee will be randomly chosen. Find the…

A: We have given that Number of male = 7 Number of female = 15 Total member = 7 + 15 = 22 Formula for…

Q: f you pick a card from a regular deck of 52 cards, what is the probability of getting a club 3 times…

A: we want to find the probability of drawing a club three times in a row from a regular deck of 52…

Q: Urn 1 contains 7 red balls and 5 black balls. Urn 2 contains 1 red ball and 2 black balls. Urn 3…

A: Obtain the probability that an urn selected at random and the ball drawn is red.  The probability…

Q: Assume the year has 300 days. What is the probability that in a group of n people, at least two…

A:

Q: 7 numb s that t git mus d th +

A:

Q: Assume that the group has a portfolio of 6 stocks. There is 30% chance that any one of these stocks…

A:

Q: Out of 3n consecutive integers, three are selected at random. Find the probability that their sum is…

A:

Q: Suppose a system will only work if all 5 components work. The probability that a particular…

A: Given that the probability that a particular component works is 0.915.Each component is independent…

Q: For the experiment of rolling a single fair die, find the probability of being odd or divisible by 3

A: The experiment is rolling a single fair die. The sample space of the experiment is as follows,…

Q: Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 oranges,…

A: Probability is the chance they occurrence in the event. Combination is the possible arrangement of…

Q: Suppose each time you take a free-throw, there’s 20% chance that it will go in. You must make 5…

A: As given: There is a 20% chance that a throw will go in. Hence, P( throw) = p = 20% or 0.2 The…

Q: A lock consists of 2 dials, where each dial has 4 letters. What is the probability of guessing the…

A: Experiment : Guessing the combination Event: Guessing the right combination.

Q: B is fo

A: The three subsets are given which are A ,B and C. It is given that B is four times as likely as A.…

Q: From 6 positive and 8 negative integers, 4 integers are chosen at random and multiplied. Find the…

A: 6 positive integers 8 negative integers __________________ 14 total integers   select 4 at random…

Q: A box contains 2 black, 4 white and 3 red balls. One ball is drawn at random from the box and kept…

A: Answer: From the given data,

Q: What is the rstudio code to find the probability that an observation from N(-2, 1), is between -3…

A: Solution-:Let, X- be the normal random variablewe want to find P(-3<X<1)=?  (By using rstudio)

Q: There are 2 boxes, each box contains 10 products. Box one contains 6 qualified products. Box two…

A: Conditional Probability: Let A and B be two events with P(A) > 0. Then the conditional…

Q: A lock consists of 2 dials, where each dial has 3 letters. What is the probability of guessing the…

A: Given: A lock consists of 2 dials, where each dial has 3 letters. The probability value is estimated…

Q: The surface of a circular dart board has a small center circle called the bull's-eye and 20…

A:

Q: Determine, to the nearest hundredth, the probability that Max will draw 2 non-defective chips.

A: It is given that Number of defectives = 5 Number of non-defectives = 175 - 5 = 170 Total = 175

Q: A board is made up of 16 squares. Each square can only fit one coin. The four squares in the center…

A: There are 16 squares on the board. Among them 4 are grey. That means (16-4)=12 are white.So the…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.