1) A man tosses two fair dice. What is the conditional probability that the sum of the two dice will be 7, given that the sum is odd.

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: In the tossing of two dice simulatneously; the probability of getting a total of 7 on the upper…

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Q: In rolling 2 dice, a. what is the probability of an event of getting a sum of 8 and 9?  b.  what is…

A: We have given that two dice are rolling then the total possible outcomes are 36. The sample space S…

Q: If two fair coins are flipped and at least one of the outcomes is known to be a head, what is the…

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Q: B. Two cards are drawn from a standard deck of 52 playing cards without replacement. What is the…

A: Given: Two cards are drawn from a standard deck of 52 playing cards without replacement.

Q: You roll two 6-sided dice.  What is the probability that the sum of the dice is exactly 8?   Enter…

A: Obtain the probability that the sum of the dice is exactly 8.   The probability that the sum of the…

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: 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: The following questions relate to outcomes of rolling three six-sided dice: a red one, a green one,…

A: According to the provided data, three six-sided dice are rolled: a red one, a green one and a blue…

Q: 3. Suppose, you are rolling two regular six-sided dice and two four-sided dice together. Let's say,…

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

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: 6. If the probabilities are 0.10, 0.14, 0.23, and 0.25, respectively, that a student buying a new…

A: The solution is as follows,

Q: 1/2 1. fa coin is flipped twice, what is the probability that the result is hends both timer?

A: As per our guidelines we are supposed to answer only one question.* *Kindly repost other question as…

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: If two fair dice are rolled, find the probabilities of the following resultsA double, given that the…

A: Let the outcomes of two dices be x and y.   To find the probability when: x=yx+y=8……1

Q: What is the probability that at least one of a pair of dice is smaller than 4, given that the sum of…

A: Given, the sum of the pair of dice is 8,9,10,11,12. Now for sum to be equal to 8, the outcomes will…

Q: Suppose we deal three cards from a regular deck of cards without replacement. What is the…

A: In a regular deck of card , we have 52 number of card , where number of Ace card is 4, number of…

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

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

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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: 2. If one card is drawn from an ordinary deck of cards, what is the probability that: a) it will be…

A: no.of heart cards=13no.of club cards=13no.of ace card=4no.of face cards=12Total no.of cards=52

Q: If a coin tossed four times, then what is the probability of getting either at least two heads or at…

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Q: 1.) When three coins are flipped, what are the probability of getting * two tails and one head?___…

A: As per our guidelines we are suppose to answer only one question. if a coin is tossed 3 times than…

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: 8. A resort manager is choosing a committee of four people to discuss employment issues. She will…

A: Given Information:  Number of housekeepers = 8  Number of desk clerks = 3  Number of maintenance…

Q: A certain game involves tossing 3 fair​ coins, and it pays 17c for 3​ heads, 8 for 2​ heads, and 2c…

A: Given data A certain game involves tossing 3 fair coins it pays 17c for 3 heads, 8c for 2 heads , 2c…

Q: 2. In tossing two fair dice, event A represents having an even result on the first die and event B…

A: Given Information: Two fair dice are tossed. Event A indicates an even number on the first die and…

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: Given two urns, one containing two red, three green, and four yellow balls, the other containing…

A: First urn contains; 2 red 3 green 4 yellow Second urn contains; 4 red 2 green 3 yellow

Q: a) Suppose a circuit board contains 25 diodes, what is the probability that more than 23 diodes…

A: here given , in proof testing of circuit board the probability of any particular diode will fail is…

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

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Q: If two fair dice are rolled, find the probabilities of the following results A sum of 6, given that…

A: Given: Two fair dice are rolled. Possible outcomes from a roll of dice are: {1, 2, 3, 4, 5, 6}.…

Q: If a pair of dice is tossed 6 times, what is the probability of obtaining of 7 or 11 twice, a…

A: Here, a pair of dice is tossed 6 times. The total number of possible outcomes is 36. The total of 7…

Q: 3. Consider a roll of two 4-sided dice. A. How many members will the outcome set have? B. If the…

A: Given problem is : Consider a roll of two 4-sided dice. A. How many members will the outcome set…

Q: It is felt that the probabilities are 0.20, 0.40, 0.30, and 0.10 that the basketball teams of four…

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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: Given two fair dice, (1) What is the probability that the dice show the same numbers?    (2) What…

A: 1) From the given information, two fair dice are rolled . The total sample space is, The sample…

Q: Suppose a pair of dice is rolled 1- What is the probability that both dice turn up the same ? 2-…

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Q: 15 Suppose we draw two cards from a shuffled set of 52 playing cards. What is the probability that…

A: Suppose we draw two cards from a shuffled set of 52 playing cards. We know that, the number of queen…

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: 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: 2. Suppose you are dealt two cards, one after the other, from a standard deck of 52 cards. What is…

A: Given Total no.of cards = 52No.of spades cards = 13No.of king cards = 4

Q: a. If a coin is tossed two times then what is the probability of two Heads? b. If a coin is tossed…

A: The probability of an event is defined as the chances of the occurrence, mathematically, of an…

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: You draw two cards from a well-shuffled deck of 52 cards, forming a 2-card hand. 1. What is the…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: 5. Suppose box A contains 3 red balls and 2 blue balls and box B contains 4 red balls and 1 blue…

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Q: (1) Suppose two dice are rolled. What is the probability: a) The first die lands on an even number…

A: We can solve this using given information

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

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Q: 18 ) A fair coin is flipped twice. What is the probability of showing heads on both flips?

A: 18. It is given that a fair coin is flipped twice. We need to find the probability of showing heads…

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.