An urn contains five balls, two of which are marked $1, two $5, and one $15. A game is played by playing $10 for winning the sum of the amounts marked on two balls selected randomly from the urn. Is this a fair game? why?

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: In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a…

A: Percentage of students offered English is 30%. Percentage of students offered Hindi is 20%.…

Q: In the game of poker featured in the motion picture Maverick, based on the television show, the…

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Q: Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a…

A: Probability of any event is calculated as below: Probablity =Number of outcomes favorable to the…

Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the

A: Given, Players has same chanece of winning. So, p = 0.5 If player wins 3 times out of 5 games is…

Q: There are   possible outcomes when you flip four fair coins.

A: Ans- There are  possible outcomes when you flip four fair coins.

Q: 1. A pair of dice is rolled (6 sided), how many different ways can you get a sum of 8?

A: We have given that the sample space of a pair of dice is rolled. The sample space is S={ (1,1) (1,2)…

Q: A certain game involves tossing 3 fair​ coins, and it pays 7¢ for 3​ heads, 5¢ for 2​ heads, and 3¢…

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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 a manufacturing firm with a production process that relies on some technology that is…

A:

Q: In the experiment of throwing two fair dice, let A be the event that the first die is odd, B be the…

A:

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: As shown above, a classic deck of playing cards is made up of 52 cards, 26 of which are black and…

A:

Q: A certain game involves tossing 3 fair coins, and it pays 18¢ for 3 heads, 9¢ for 2 heads, and 3¢…

A: Given A certain game involves tossing 3 fair coins, and it pays 18¢ for 3 heads, 9¢ for 2 heads, and…

Q: L The word "Fair" means that each face of a coin has an equal chance of coming up and that the…

A: We have given the following information about the  fair coin.

Q: The event with outcomes shown by an * is: A. Pr( Head AND (Odd OR Tail) AND EVEN) B. Pr( (Head AND…

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Q: Suppose a standard​ six-sided die is rolled and you receive ​$3.00 for every dot showing on the top…

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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: 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: James rolls a die once. If event A is getting an odd number, and event B is getting an even number,…

A: We have to find

Q: per cent of cards will have (i) no mistake, (ii) one mistake, and (iii) two mistakes.

A: here use poisson process because  Event occurrence rate is constant  Each occurrence of event does…

Q: Consider the sample space S = mixer, back hoe, jack hammer, sand, gravel, cement, steel And the…

A: Given  S = mixer , back hoe , jack hammer , sand , gravel , cement , steel A = mixer , back hoe ,…

Q: Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a…

A: Since you have solved first two parts correctly, so I'll solve the last part. Given that the player…

Q: 1. Draw the tree diagram. 2. probability of a successful well in field A, B. probability of a…

A: Here define events  S = successful well in field A = successful drill in field A B = successful…

Q: 6. Dean has bought a new deck of playing cards. If she wants to draw a black card, how many desired…

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Q: In class, it was stated that in order to show that more than two events are independent, you have to…

A: From the given information,

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: A jar contains 8 marbles numbered 1 through 8. An experiment consists of randomly selecting a marble…

A: It is provided that there are 8 marbles in a jar and a deck of 52 cards.Number of marbles which are…

Q: Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a…

A: Given  Total number of slots =54 Player bet $4 on $10 denomination

Q: In how many ways can you rearrange the letters in the word "COUNT," in order to get every possible…

A: Given that,The word "COUNT"and here we have to find out how many wayscan be rearranage the letters…

Q: In the casino game of American roulette, the wheel is divided into 38 compartments numbered 1…

A: Given Information: There are 38 compartments numbered 1 through 36, 0, and 00.  One-half of the…

Q: A. Suppose four coins are tossed, show all the outcomes and find the probability of getting: 1. two…

A: As per company guidelines I solved only First questions .thank you

Q: Suppose a standard​ six-sided die is rolled and you receive $2.00 for every dot showing on the top…

A: Random variables are of two types, discrete and continuous. A discrete random variable can only take…

Q: As shown above, a classic deck of playing cards is made up of 52 cards, 26 of which are black and…

A: Solution: Total cards = 52  Black cards=26  and Red cards= 26 Each color is split into 2 suits of…

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: If two events A and B are not mutually exclusive, then P(A U B) can be computed by the formula P(A U…

A: Given that A and B are not mutually exclusive. So it will roughly look like:

Q: List the outcomes that comprise events X, Y, and Z. X = { A } Y={ AA } Z={ } Z={ A }

A: The possible outcomes are given as, S = {AB, AC, AD, BC, BD, CD, BA, CA, DA, CB, DB, DC} The events…

Q: In the casino game of American roulette, the wheel is divided into 38 compartments numbered 1…

A: Given information: The wheel in the casino game is divided into N = 38 compartments numbered 1…

Q: Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a…

A: Given that  a game called the Big Six Money Wheel, which has 54 slots in which are displayed a…

Q: James placed a $25 bet on a red and a $5 bet on the number 33 (which is black) on a standard 00…

A: It is given that the mean and standard deviations are –1.581 and 35.053. The sample size n is 2,500.

Q: 1. Suppose that two fair dice are rolled. If you bet $1 on rolling a sum of 11, how many dollars…

A: Sa per bartleby guideline expert have to answer first question only.

Q: Consider a manufacturing firm with a production process that relies on some technology that is…

A:

Q: In a bridge deal, what is the probability that: a) West has four spades, two hearts, four diamonds,…

A: As due to the honor-code, we are authorized to answer only 3 subparts for each question and that you…

Q: This problem involves a sample space S with two events, E and F. Assume that Pr[E]=12Pr[E]=12,…

A: Given that: Pr[E]=12, Pr[F|E]=35, and Pr[E′∩F′]=16.   We have to find Pr[F]=

Q: A game is played by rolling a palr of dice. If the the player wins 50 pesos. Otherwise, he loses…

A: Given: If the same number appear on both side, the player wins 50 pesos the game favors neither the…

Q: The set of outcomes of tossing three distinguishable coins or three indistinguishable coins.

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Q: Inhorseracing,onecanmakeatrifectabetbyspecifyingwhichhorsewillcomeinfirst,which will come in second,…

A: Solution (a)  The number of ways to make a trifecta bet is the number of permutations of 3 horses…

Q: Find the odds of picking one card from a well-shuffled standard deck that is a black card or a face…

A: Solution :  Odds = p/1-p Odds = (32/52) /(1-(32/52) )  Odds = (32/52) /(20/52)  Odds = 32/20

Q: a. What are the odds for rolling a sum of 2 in a single roll of two fair dice? b. If you bet $1 that…

A: It is given that dice are fair, that indicates probability of rolling any number of dice is same.…

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.