1) Rolling two four-sided dice, what's the likelihood of getting the same sum twice in a row?

Q: if you roll a pair of fair dice, what is the probability of getting each of the following 7 11 2 or…

A: The set of all possible outcomes of a probability experiment is called sample space of the…

Q: 1. A coin is tossed six times. What is the probability of obtaining four or more heads ?

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Q: Assume you choose two cards at random from a regular 52-card deck with no replacements. What is the…

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Q: If two balanced dice are rolled, what is the probability that the sum of the two numbers that appear…

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Q: A certain game involves tossing 3 fair coins, and it pays 8¢ for 3 heads, 3¢ for 2 heads, and 1¢ for…

A: We have given,A fair coin is tossed 3 times. So, we can have following…

Q: 18 Let an experiment be tossing a fair coin once, what is the probability of getting 2 heads? * 0.5…

A: Givena fair coin tossed once

Q: 8. Donovan was skeptical before the coin toss at the playolf game, because his teams are generally…

A: Given that, Donovan was skeptical before the coin toss at the playoff game, because his teams are…

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: a. What is the probability that you get the first heart on the 7th turn? b. How many turns are…

A: Given: There are 3 hearts, 7 clubs, 2 spades in a deck of cards. Total cards, n=12

Q: Using a fair coin and a fair six-sided dice, what is the probability of tossing tails and rolling an…

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Q: 1. If two fair dice are rolled, what is the probability that the sum will be greater than or equal…

A: We first make a table for the outcomes when two dice are rolled. sum Outcomes Number of…

Q: 1. In a simultaneous throw of a pair of fair 6-sided dice, find the probability of getting: h. At…

A: Let 'S' be the sample space of rolling two fair dice together. S={1,1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6…

Q: Example 2.4.5 What is the probability of obtaining multiples of 3, twice in a throw of 6 dice?

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Q: b) You roll two fair dice, what is the probability of getting a sum of 10 or more?

A: Roll two fair dice, what is the probability of getting a sum of 10 or more S = { (1,1), (1,2),…

Q: 1.Sports Participation At a particular school with 200 male students, 58 play football, 40 play…

A: Based on the provided information, out of 200 male students, 58 play football, 40 play basketball,…

Q: Do these situations involve Bernoulli trials? Explain. a. We roll 50 dice to find the distribution…

A: For Bernoulli trials, there are four requirements need to be fulfilled. These requirements are…

Q: Consider the probability experiment in which a 4-side dice is tossed twice and two coins are tossed.…

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Q: How many dice must be thrown so that there is a better than even chance of obtaining at least one…

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Q: If two coins are tossed at once, what is the probability of getting only one head?

A: Probability of an event is the ratio of number of favourable outcomes to total number of possible…

Q: If we roll three six-sixed dice, what's the probability that all three show even numbers?

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Q: 5. A student rolls 2 fair 6-sided dice. What is the probability the sum of the numbers they roll is…

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Q: Example 8.11 What is the probability of getting tail, head, and tail on three successive tosses of a…

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Q: Three unbiased dice are rolled. What is the probability that they all show different faces?

A: It is given that three unbiased dice are rolled. It is known that every dice has 6 faces. The main…

Q: In rolling a pair of fair dice, what is the probablity of rolling a sum of ten?

A: The provided information is  The rolling a fair dice. The sample space is…

Q: You select a family with three children. If M represents a male child and F a female child, the…

A: Given that: M represent a male child. F represent the female child. Sample space = { MMM, MMF, MFM,…

Q: what is the probability that at least one of the pair of fair dice lands on 5, given that the sum of…

A: Solution:Total number of outcomes possible when a die is thrown = 6,Hence, Total number of outcomes…

Q: #15 Katie will roll this 12-sided dice 2 times. What is the probability that she will roll a 3 or a…

A: We know that, the values 1,2,3 & 4  satisfy the rules, and the probability is: P=(4*112)n…

Q: 1. If two balanced dice are rolled, what is the probability that the sum of the two numbers that…

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Q: 19. Two symmetric dice have had two of their sides painted red, two painted black, one painted…

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Q: The sample space for an experiment, which involves rolling a pair of 6-faced dice, contains 6…

A: Solution-: We have an experiment, which involves rolling a pair of 6-faced dice We check it contains…

Q: How many dice must be thrown so that there is a better than even chance of obtaining a six?

A: A single dice contains 6 numbers { 1, 2 ,3 , 4 , 5 , 6} There is a equal chance of getting any…

Q: Suppose that you roll two 6 sided dice. a) What is the size of the sample space? b) What is the…

A: Two 6 sideded dice are thrown together. now find following

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: An internet job recruitment company, Companyl, claims on their website that their company doubles…

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Q: 1. In rolling two dice, what is the probability of landing same numbers?

A: Since you have posted multiple questions, we are answering the first one. if any doubt, kindly…

Q: 1) A man tosses two fair dice. What is the conditional probability that the sum of the two dice will…

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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: 3. Nine percent of men and 0.25% of women cannot distinguish between the colors red and green. This…

A: P (men is color blind)=0.09n=6 mens selectedx=no. of men have color blindnessFollow binomial…

Q: What is the probability that at least one of a pair of fair dice lands of 5, given that the sum of…

A: Given At east one of a pair of fair dice lands of 5, The sum of the dice is 9

Q: Suppose you roll a 6-sided die, a 10-sided die, and a 20-sided die. What is the probability that the…

A: Given that,  You roll a 6-sided die, a 10-sided die, and a 20-sided die.

Q: 3) Rolling three four-sided dice twice, what is the probability of the second total being larger…

A: The sample space for rolling three four sided dice twice is: 1,1,1 1,1,2 1,1,3 1,1,41,2,1 1,2,2…

Q: 2. The odds against The Toronto Argonauts winning the Grey Cup are estimated at 21 to 8. What is the…

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Q: 3.12 In a city of 180,000 people there are 20,000 legal im- migrants from Latin America. What is the…

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

Q: The probability of going from state C to state A in three trials is

A: Given, the transition matrix P and the powers of P below:  P=0.40.30.30.20.50.30.10.70.2,…

Q: 3.3.4 You roll a pair of fair dice until you roll "doubles" (i.e., both dice are the same). What is…

A: Solution :  When two fair dice are rolled , sample space consists of 36 outcomes. Let A : double…

Q: Consider the experiment of rolling two dice. ​a) What is the probability of obtaining a sum of…

A: General formula of probability is ,   Consider the experiment of rolling two dice. All possible…

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

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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.