1. A computer game has a simulated roll of a six-sided die and the game would be fair if the probability of getting a one is 1/6. You test the game by "rolling" the die 8 times and you get 7 ones. Is the computer game unfair? Explain.

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: a) Suppose a balanced six-sided die is rolled. i. What is the probability of getting the first…

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION    Here Given  Six sided balanced die…

Q: 2. If you roll two dice, what is the probability that the sum of the two numbers is 10?

A: If you roll two dice than the possible total no.of outcomes are  36.

Q: You roll two six sided fair dice. What is the probability of getting the sum of two dice that is at…

A: A pair of standard dice is rolled. In case of two dice, there are 36 different possibilities as…

Q: In rolling a pair of fair dice, what is the probability that a sum of 7 is rolled before a sum of 8…

A: Let A denotes the sum of 7 and Let B denotes the sum of 8

Q: If we roll three six-sixed dice, what's the probability that their sum is even?

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Q: If you roll a four sided die and a six sided dice ( numbered 1,2,3,4) what is the probability of…

A: Given a four sided dice which have numbers 1,2,3,4 and six sided dice have numbers 1,2,3,4,5,6 on…

Q: Suppose you roll one six sided dice and spin a spinner divided into 8 equal sections numbered 1-8.…

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Q: Two fair dice are thrown.What is the probability that the score on the first die is 6 or the score…

A: # Given two  fair dice are thrown   then        Sample space (S) = {(1,1), (1,2), (1,3), (1,4),…

Q: Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the…

A: Given: A pair of dice is rolled. To find: The probaility of getting 5 as the sum of the face value…

Q: For the experiment of rolling an ordinary pair of​ dice, find the probability that the sum will be…

A: Given data is : Rolling an ordinary pair of​ dice Total number of outcomes nS=62=36 A sum is less…

Q: What is the fewest number of times you must roll a six-sided dice before you can be assured that n…

A: The Pegion Hole Principle: Suppose that  and  are natural numbers and that we are distributing…

Q: When rolling a pair of dice, what is the probability of getting a shm of 5?

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Q: In rolling two fair dice, what is the probability of obtaining equal numbers or numbers with an even…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.It…

Q: What is the probability of rolling a 3 on one roll of a six-sided die? You and your friend have a…

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

Q: In the experiment of rolling two dice, what is the probability that the sum is not less than 8?

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Q: What is the probability of not rolling a 1 with a fair die ?

A: total number of outcomes=n=6 sample space=(1,2,3,4,5,6) If a die is fair then the probabality of…

Q: What is the probability that the sum will reach 7 or 10 in one roll of two dice?

A: In rolling a dice following possible outcomes is observed {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)…

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: Two ordinary six-sided dice are rolled. What is the probability of getting a sum of 8?

A: Since. it is given that two six-sided dice are rolled, Our Aim is to tellwhat is the probability of…

Q: What is the probability of getting at least one 6 on three rolls of a die?

A: It is an important part of statistics. It is widely used.

Q: What is the probability that when two dice are rolled, the sum of the numbers on the two dice is 11…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the…

A: The pair of dice is rolled.

Q: What is the probability of throwing a total of 8 or 11 in a single throw of a pair of dice?

A: GivenA pair of dice is thrownThe outcomes…

Q: A new board game uses a twelve-sided die. Suppose the die is rolled once, what is the probability of…

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

Q: In the experiment of rolling two dice, what is the probability that the difference between the…

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Q: For the experiment of rolling an ordinary pair of​ dice, find the probability that the sum will be…

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Q: (b) If two fair dice are thrown, what is the probability of getting          (i)      A double 3…

A: we have to find basic probability

Q: In rolling 2 fair dice, what is the probability of a sum greater than 3 but not exceeding 6?

A: The two fair dices are rolled, the pairs whose sum is greater than 3 but not exceeding 6 are (1, 3),…

Q: Suppose you roll two dice,  D1  and  D2. What is the probability of rolling at least one 3?

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Q: What is the probability of rolling a die and rolling a 2 or a 3 or a 4?

A: The probability of an event can be defined as follows:

Q: Find out the probability of getting a total of either 7 or 11 in a single roll of two dice?

A: Ans#- Given, Roll a dice twice then sample space                                           S   =…

Q: What is the probability of getting at least one 4 when you throw 2 dice?

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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: 4. Using a pair of dice, what is the probability of throwing a sum of nine twice in a row?

A: As per our guidelines, we can answer only the first question, Kindly repost the other for an answer

Q: What is the probability of getting either a three or a four on at least one the two dice?

A: From the provided information, Total outcomes = 36

Q: For the experiment of rolling an ordinary pair of​ dice, find the probability that the sum will be…

A: If a pair of die are rolled  than the possible outcomes are 36the possible outcomes that the sum…

Q: Suppose a balanced six-sided die is rolled. i. What is the probability of getting the first "three"…

A: For geometric distribution, there are four requirements need to be fulfilled. These requirements are…

Q: In tossing a fair die, what is the probability of getting an even number or a number greater than 3?

A: Given data :  Total numbers in a fair die = 6  That is the sample space is , S = { 1 , 2 , 3 , 4 , 5…

Q: In rolling 3 fair dice, what is the probability of obtaining a sum not greater than 16?

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Q: suppose we roll three 6-sided dice. what is the probability of that we get a sum of 5

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Q: (b) What is the probability of getting a sum of 13 when 3 fair dice are rolled?

A: GivenIf we roll three fair dies than the possible total out comes are=63=216 The possible outcomes…

Q: 13. When a fair die is tossed, what is the probability of getting an even number? A. % В. 1/2 C. 1/3…

A: We have given,  (13) Fair die is tossed then sample space (s) is,  S = { 1, 2, 3, 4, 5, 6 } Then,…

Q: Are the two events in each scenario mutually exclusive or not? Explain. a) Rolling a sum of 5 or a…

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Q: What is the experimental probability of rolling a 3 on this dice?

A: here given ,  experimental probability of rolling different numbers on dice  Rolling an even number…

Q: 3. What is the probability of a dice showing an odd number?

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Q: suppose it costs $14 to roll a pair of dice. You get paid two dollars times the sum of the numbers…

A: Given suppose it costs $14 to roll a pair of dice.

Q: i. What is the probability of getting the first "three" in the 6th roll? ii. How many times would…

A: HERE GIVEN, 6 SIDED DIE IS ROLLED, here balanced die  so probability of getting each of the number…

Q: b) Suppose you roll the dice repeatedly, and you will keep flipping it until you observe two total…

A: Introduction to Negative binomial distribution: Consider a random experiment involving x 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.