You are going to roll three standard six sided dice. The dice are distinguishable: one is red, and other is blue, and the third is yellow. How many different roles are there?

Q: In the rolling of two fair dice calcuate the following Note * do 1, 3, 4 and 5 P(Sum of the two…

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Q: You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of…

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Q: 13) A bag contains 3 red marbles, 2 blue marbles, 6 white marbles, and 5 green marbles. If one mart'…

A: To find which color marble has the least chance of being drawn:

Q: You and your friend are playing a dice game where you win a point if you roll a number that is…

A: The possible outcomes when a die is rolled are 1,2,3,4,5,6.

Q: i) Find the probability that, when 5 fair six-sided dice are rolled, the result is: a) 5-of-a-kind…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Calculate the probability that a single roll of a fair backgammon dice will come 4 or 1 A) 2/8…

A: Calculate the probability that a single roll of a fair backgammon dice will come 4 or 1

Q: Two events, A and B, are said to be independent if: a. Р(BA) 3D Р(А) b. РАВ) — Р(В) c. P(An B) = PA)…

A: Condition for independence: If A and B are two events, then P(A and B)=P(A)*P(B). Consider option a)…

Q: 1. The set of all possible outcomes. Lof an experiment is the

A: set of all possible outcomes is known as

Q: The set of all outcomes of rolling two distinguishable dice such that the numbers add to 9.

A: Each dice have six outcomes. We use this basic rule to solve the problem

Q: Betty has several of the standard six-sided dice that are common in many board games. If Betty rolls…

A: Note :- As per our policy, we can answer one question with three sub-parts only at a time, please…

Q: The student council for a school of science and math has one representative from each of the five…

A: a) Therefore the 10 possible ways are {(B, C), (B, M), (B, P), (B, S), (C, M), (C, P), (C, S), (M,…

Q: When playing the dice game 21's, if you were presented with the following scenario, how many dice…

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Q: Which of the following is equivalent to S = {spring, summer, autumn, winter}? (you may select more…

A: S = {spring, summer, autumn, winter}?   1. {x | x = sides of a standard dice} 2. {x | x = former…

Q: Consider a game in which six true dice are rolled. Find the probability of obtaining (a) exactly one…

A: According to the answering guidelines, we can answer only one question with three subparts and the…

Q: Consider two six-sided dice. a. Calculate the probability of rolling a "3" on a single die. b.…

A: Solution: 15. Suppose two dice are rolled. Then, the sample space is Number of elements in the…

Q: You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of…

A: If you roll two fair dice then the possible out comes are 36i.e n(s)=36

Q: You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of…

A: Introduction: Two fair dice are rolled in the experiment. Each die has possible outcomes: {1, 2, 3,…

Q: You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of…

A: When two fair dice a green and a red one are rolled, the sample space is given by, S = {(1,1),…

Q: 13) A bag contains 3 red marbles, 2 blue marbles, 6 white marbles, and 5 green marbles. If one mart…

A: We have, Red marbles: 3 Blue marbles: 2 White marbles: 6 Green marbles: 5   Total number of marbles…

Q: You roll a pair of six-sided dice, and the random variable X assignsto each outcome the sum of the…

A: We first make a table of the outcomes. sum Outcomes Number of outcomes Probability…

Q: (a) What are the states of one standard (6-sided) die? What is the probability of each state…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: 1. The sum of two six-sided dice is a uniformly distributed random number.

A: Hi you have posted multiple question in one go. So as the guidelines I am obliged to answer first…

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

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Q: A game consists of spinning an unbiased, five-sided spinner which can land on A, B, C, D or E, and…

A: Given information: The five sided spinner which can land on A, B, C, D or E and unbiased die are…

Q: A card is drawn from a deck of 52 playing cards. a) Find the odds against drawing a black card or a…

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Q: You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: For a 13 sided dice the probablity of rolling 5 is. Write the answers upto 2 decimal.

A: From the given information, number of sides that the given dice consists n(S) = 13. The points on…

Q: Consider an experiment in which two fair, 5-sided dice are rolled. All Possible Outcomes 1 1   2 1…

A: A) From the table we see that (1,4) , (2,4) , (3,4) , (4,4), (5,4) , (4,1) , (4,2) , (4,3), (4,5)…

Q: You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of…

A: Note: As per bartleby guidelines only first three subparts are to be solved. Please upload other…

Q: If A and B are ______ events, then the addition rule becomes P(A∪B)=P(A)+P(B)P(A∪B)=P(A)+P(B) .

A: Introduction: Suppose A and B are two events of interest in a study. Let P (A), P (B), and P (A ∩ B)…

Q: As shown above, a classic deck of cards is made up of 52 cards, 4 suits with clubs and spades black…

A: The total number of card in a classic deck of cards is 52.

Q: A bowl contains 5 white, 4 grey, and 3 patterned erasers, as shown below. If an eraser is randomly…

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Q: A beverage company puts game pieces under the caps of its drinks and claims that one in six game…

A: Odds of the situation is the ratio of favourable cases to unfavourable cases

Q: In a two dice toss, what is the probability of event A (red die show 6) and event B (green die show…

A: When two dice are rolled the sample space is n(s)=62 = 36   Let A be the event that 1st die is 6 B…

Q: In Summit County, 60% of the voter population are Democrats. What is the probability that a random…

A: Givenp=0.60n=10Let "x" be the no.of Democrats contain in a…

Q: As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color…

A: Total number of cards = 52 Number of black cards = 13+13 = 26 Number of '3' cards = 4 Number of…

Q: What is the probability of a standard dice roll being even or prime? 5/6 O 7/6 1/6 1/2

A: Given that  A standard dice is rolled  Sample space = S = ( 1 , 2 , 3 , 4 , 5 , 6 ) Even or prime =…

Q: If two events, A and B, are mutually exclusive, then P(A and B) = P(A) × P(B)

A: Mutually exclusive events are also called dis joint events. It means that events can't occur…

Q: Of the 36 possible outcomes in the table below, determine the number for which the sum (for both…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: QI// 1- There are 6 different routes from Ibri to Sur and 5 different routes from Sur to Salalah.…

A: Question - 1: Given: There are 6 different routes from Ibri to Sur and 5 different routes from Sur…

Q: We roll 10 different dice, each of which has 12 sides with the numbers 1 through 12 showing on them.…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: If two fair dice are rolled together, which of the following is more likely:  i)Getting a total of…

A: i) The total outcome after rolling two fir dice together = 36 Possible outcomes getting a total 7 or…

Q: How many possible outcomes would there be if three coins were tossed once?

A: Given: Three coins are tossed. We have to find the possible outcomes.

Q: A pair of fair four-sided dice is thrown. The probability that If the two numbers appearing are…

A: From the given information, pair of four-sided dice are rolled.   The total sample space is,

Q: 4.)Car Dealership General Motors Toyota Total Car 55 30 85 SUV 28 17 45 Total 83 47 130 " one person…

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Q: Consider the following spinner, what are the odds iIn favor of spinning C? What is the probability…

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Q: Consider the experiment of rolling 3 fair four-sided dice (the numbers on each die are 1,2,3 and 4).…

A: Consider experiment of rolling 3-fair four sided dice having numbers {1,2,3,4} X_1, X_2 and X_3 are…

Q: a. Five dice are rolled. b. Notebooks come in 4 colors: red, yellow, green, and blue: They come in 2…

A: We need to find number of possible outcomes for each case.

Q: A bag of M&M’s contains 5 blue, 6 red, 12 green, 10 yellow, 9 brown, and 8 orange M&M’s. What are…

A: Express the mathematical relation to calculate odds against. Odds against =Number of failures:…

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.