1- Two balanced 4 sided-dice, each with faces labeled by 1, 2, 3 and4. if Ali plays a game where he tosses two balanced 4 sided-dice He wins 3 points if the sum is 6. He wins 2 points if the sum is greater than 6. He loses 1 point if the sum is less than 6. Find the probability distribution sum.

Q: A shipment of 10 items has two defective and eight nondefective items. In the inspection of the…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 1. If you roll two dice, what is the probability of throwing "snake eyes" (each die showing one dot…

A:

Q: Suppose you have two fair six-sided dice. The dice are not numbered but each face is colored either…

A:

Q: 6 In a country license plates consists of four letters followed by three digits. Assuming that any…

A: Probability is a branch of mathematics or statistics which basically deals with the chances of…

Q: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: Answer : Canadians = 2  Japanese = 3 Italians = 5  Germans = 2 Total students = 2+3+5+2 = 12 Number…

Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probability that…

A: Given that class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors. Total = 8+5+4+2 = 19

Q: In a probability experiment, a fair dice is thrown, if the dice comes 1, box number 1, 6 If it…

A: Solution : Let, X: Number on dice   i.e. X = 1, 2, 3, 4, 5, 6 It is given that box no 1 (b1) = 1…

Q: 2. Keisha is playing a game using a wheel divided into 8 equal sectors, as shown in the diagram…

A:

Q: An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: A small voting district has 90 female voters and 80 male voters. A random sample of 10 voters is…

A: Given, No. of Female voters = 90 No. of male voters = 80 Total voters = 90+80 = 170 Random sample of…

Q: A pair of unbiased dice is thrown. Find the probability that (i) the sum of spots is either 5 or 10,…

A: The sample space is S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)…

Q: Suppose you roll two five-sided dice (each with sides labeled 1 through 5). What is the probability…

A:

Q: An experiment consists of rolling three fair dice --- a red die, a blue die, and a white die --- and…

A: According to the given information, an experiment consisting of rolling three fair dice red blue and…

Q: 6. What is the probability that you create a sandwich with wheat and turkey? 7. What is the…

A: 6)  The objective is to find the probability that the sandwich is created by wheat and turkey,…

Q: A committee of 5 members is to be chosen from 9 female students and 6 male students. How many ways…

A: It is given that Total students = 9+6 = 15 Number of committee members = 5 Note : Since you have…

Q: Urn A contains 2 white balls and 1 black ball, whereas urn B contains 1 white ball and 5 black…

A: Let us denote B=black and W=white Given that Urn A contains 2 white balls and 1 black ball So, we…

Q: 7) A jar contains 7 red marbles, 7 yellow marbles, 4 green marbles, and 3 blue marbles. a) If…

A: Number of red marbles (r) = 7 Number of yellow marbles (y) = 7 Number of green marbles (g) = 4…

Q: 4. Two cards are drawn at random from an ordinary deck of 52 playing cards one at a time with…

A:

Q: In series, teams A and B play until one team has won 4 games. If team A has probability 2/3 of…

A:

Q: 4. A random selection of a committee of 6 persons is made from a group of 10 men and 12 women. a) If…

A: Given that, a random selection of a committee of 6 persons is made from a group of 10 men and 12…

Q: 4.14. Three boys and three girls are lined up in a row. (a) What is the probability of all three…

A:

Q: 4) An unfair coin, when tossed 7 times, has the same probability of obtaining 2 heads out of 7 as it…

A: Let us assumep=the probability that the coin lands on headn=sample size=7 X=the number of headsX…

Q: During the last student elections at a certain college, 45% of the students voted for the democratic…

A:

Q: 7. A container has 5 red dice, 3 green dice and 4 black dice. If you randomly pick 2 marbles from…

A:

Q: A pencil box contains 5 pink pencils, 7 blue pencils, and 8 yellow pencils. Soroush takes one pencil…

A:

Q: 7. A basket contains two apples, three lemons and one orange. If two fruits are drawn at random with…

A: Note:-Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: An urn contains three red balls numbered 1, 2, 3, three white balls numbered 4, 5, 6, and four black…

A:

Q: Suppose that a single dice with 21 sides (numbered 1,2,3,...,21)is rolled once. What is the…

A: Given information: A single dice with 21 sides is rolled once. The N = 21 sides are representing the…

Q: in a certain game you roll 2 6-sided dice to determine the number of spaces to move a game piece…

A:

Q: 1. Obtain the probability of adding up six points if we toss three distinct dice.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 1. A gumball dispenser has 38 orange gumballs, 30 purple ones, and 18 yellow ones. The dispenser…

A:

Q: A class consist of 28 meals and 52 females. If the professor selects names from the class list using…

A:

Q: What is the probability of winning the Super-Mega jackpot by matching all six numbers and the…

A: In a super-mega-jackpot game, We have to draw 6 numbers from 1-70 from one single machine and…

Q: Q. 6 In a country license plates consists of four letters followed by three digits. Assuming that…

A: There are four letter words with repetition and there are 26 words in alphabet, so the number of…

Q: 3. In a factory which manufactures bolts, machines A, B and C manufacture respectively 25%, 35% and…

A: Q.3. Solution : Given : A : Bolts manufactured by machine A             B : Bolts manufactured by…

Q: 13.) Suppose we throw 2 dice. Given that the sum of the dice is 10, what is the probability that one…

A: S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)  (3,1) (3,2) (3,3)…

Q: In a tank containing 10 fishes, there are three yellow and seven black fishes. We select three…

A: Hypergeometric distribution is given by

Q: 8. A jar contains 7 red marbles, 7 yellow marbles, 4 green marbles, and 3 blue marbles. a) If…

A:

Q: 23 A school newspaper staff is comprised of 5 seniors, 4 juniors, 5 sophomores, and 7 freshmen. 24 f…

A: Note: As per Bartleby’s guideline for more than one questions only first is to be answered please…

Q: BCC’s Math Club has 40 members, 24 females and 16 males. 4 of the females and 6 of the males are…

A: Given that there are 40 members: 24 females and 16 males. 4 of the females and 6 of the males are…

Q: 1. A bag of jelly beans contains 10 red, 6 green, 7 yellow, and 5 orange jelly beans. What is the…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3. A bowl contains 8 Nips®, 3 blue, 1 yellow, 1 red, 1 green, and 2 black. If a child picks one Nips…

A: Given that  Total nips=8 Blue nips=3 Yellow nips=1 Red nips=1 Green nips=1 Black nips=2 Note:…

Q: In an NBA championship series, the team which wins four games out of seven will be the winner.…

A:

Q: The student forum of a high school needs to elect 4 students out of a total of 9 boys and 16 girls…

A: Introduction: Denote X as the number of boys among the 4 students elected for the high school forum.

Q: 5) Suppose Marry gets a strike when bowling 70% of the time. a) What is the probability that Marry…

A:

Q: 1. Rennin has a pair of dice and he throws them on the table then, what is the probability that the…

A:

Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three…

A: Given:  8 freshmen, 5 sophomores, 4 juniors, and 2 seniors Total = 8+5+4+2 = 19

Q: 1) If you roll a fair dice, what is the probability of rolling "2" or "3" given that the number of…

A:

Q: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: We have to use classical probability theory to find the probability.

Q: A fruit bowl contains 3 apples, 5 oranges and 2 peaches. If a piece of fruit is selected at random…

A: a) The fruit bowl contains 3 apples, 5 oranges, and 2 peaches.

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.