In one lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order from the white balls (1 through 41) and matching the number on the gold ball (1 through 34). If one ticket is purchased, what is the probability of winning the jackpot? The probability of winning the jackpot with one ticket is (Type an integer or a simplified fraction.)

Q: Find the probability that when four numbers from 1 to 100, inclusive, are picked at random with no…

A: Given, Four numbers are selected at random without repetition. calculate: the probability that all…

Q: The probability of randomly sampling someone in my neighborhood and finding that they own a pet is…

A: Given Information:  Probability of finding that they own a pet = 0.7  Sample size (n) = 6  To find…

Q: a number is selected at random from the first 600 positive integers, what is the probability of…

A: From the provided information, A number is selected at random from first 600 positive integers.…

Q: Assume a single spin of the roulette wheel is made. Find the probability of the marble landing on a…

A: I am attaching image so that you understand each and every step.

Q: Assume that four months are chosen randomly, and determine the probability that at least one of the…

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Q: Suppose one network executive is selected at random. What is the probability the selected person is…

A: From the Given Data: P( S and ABC)=15/85 P( ABC)=25/85

Q: white balls and one from 1 to 12 gold Mega balls. A player wins the jackpot by matching all five…

A: The answer is 1/56784. Solution :-   First, we calculate the number of sets of 5 number in 1-16 =…

Q: An experiment consists of drawing 1 card from a standard 52-card deck. Let E be the event that the…

A: We have given that  There are 52 cards in standard deck  This is divided into two parts (26 are…

Q: Ca) How many integers are there from 1,000 through 9,999? (b) How many odd integers are there from…

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Q: A jar contains 12 red marbles numbered 1 to 12, 4 blue marbles numbered 1 to 4, and 10 white marbles…

A: Given Data: The number of red marbles is: n(R)=12 The number of blue marbles is: n(B)=4 The number…

Q: Suppose Dan has 3 black hats, 5 blue hats, and 1 gray hat. He also has 6 black rings, 3 blue rings,…

A: Dan has 3 black hats, 5 blue hats, and 1 gray hat Total hats = 9 6 black rings, 3 blue rings, 4 red…

Q: A fair coin is independently flipped n times, k times by A and n -k times by B. Show that the…

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Q: Consider a political discussion group consisting of 5 Democrats, 5 Republicans, and 4 Independents.…

A: From the provided information, Total Democrats = 5 Total Republicans = 5 Total Independents = 4…

Q: In a certain lottery, 48 balls numbered 1 through 48 are placed in a machine and six of them are…

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Q: An urn contains N marbles, of which 50% are green, 20% are blue, and 30% are red. Suppose that three…

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Q: A jar contains 4 red marbles numbered 1 to 4, 12 blue marbles numbered 1 to 12, and 8 white marbles…

A: As per company guidelines I solved exactly three subparts of the question .thank you ?

Q: Find the probability that by guess-work a student can correctly answer 25 to 30 questions in a…

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Q: a. How many positive three-digit integers are multiples of 6? b. What is the probability that a…

A: (a) The first 3 digit multiple of 6 is 102 and the last 3-digit multiple is 996. So, the three digit…

Q: Consider the wheel to the right. If the wheel is spun and each section is equally likely to stop…

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Q: An experiment consists of drawing 1 card from a standard 52-card deck. Let E be the event that the…

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Q: Suppose two standard die are rolled and it is known that one of the die landed on a four. What is…

A: Solution -Given that Two standard die are tossed then the total number of possible outcomes=62=36…

Q: In a box containing 10 keys labeled 1 to 10, find the probability of: a) getting the No. 5 key from…

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Q: An experiment consists of drawing 1 card from a standard 52-card deck. Let E be the event that the…

A: Answer: From the given data, we have,

Q: A card is drawn from a deck containing only diamond cards and then replaced. Each card drawn is…

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Q: The following formula gives the probability of being dealt a full house (three cards of one kind and…

A: topic- permutation and combination

Q: What is the probability that a randomly chosen divisor of 3049 is a multiple of 60º?

A: 3049 = 249×349×549So the number of factors = (49+1)(49+1)(49+1) = 125000 factors6019 =…

Q: An experiment consists of drawing 1 card from a standard 52-card deck. Let E be the event that the…

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Q: Suppose we select, without looking, one marble from a bag containing 6 red marbles and 7 green…

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Q: Suppose that a certain college class contains 39 students. Of these, 26 are sophomores, 21 are…

A: a) For any two events A and B, it is known that P[A ∪ B] = P[A]  + P[B] – P[A ∩ B].

Q: When three basketball players are about to have a free-throw competition, they often draw names out…

A: Given that there are 3 basketball players. The number of ways for selecting 3 players names is 3!=6…

Q: (d) How many odd integers from 1,000 through 9,999 have distinct digits?   (e) What is the…

A: d) From 1000 to 9999, all are 4 digit numbers.  Since we need odd integers, so the last digit must…

Q: Suppose we select, without looking, one marble from a bag containing 5 red marbles and 12 green…

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Q: Use the row of numbers shown below to generate 12 random numbers between 01 and 99. 30054 86244…

A: see below

Q: A jar contains 12 red marbles numbered 1 to 12, 8 blue marbles numbered 1 to 8, and 4 white marbles…

A: Given that, A jar contains 12 red marbles numbered 1 to 12, 8 blue marbles numbered 1 to 8, and 4…

Q: One card is randomly drawn from a standard deck of 52 cards as shown in the figure below. Using the…

A: We know that :  A standard 52-card deck comprises 13 ranks in each of the four French suits: clubs…

Q: Consider a collection of envelopes consisting of 2 red envelopes, 3 blue envelopes, 1 green…

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Q: A certain lottery consists of selecting six different numbered balls from numbered 1 to 12 white…

A: In a lottery competition, we are given 12 white balls which are numbered from 1 to 12 and 11 gold…

Q: Calculate the probability, giving your final answers in fraction form, of: a) Choosing a red marble…

A: Event: An event is an outcome or a set of outcomes of a random experiment to which a probability is…

Q: Consider a political discussion group consisting of 9 Democrats, 8 Republicans, and 2 Independents.…

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Q: Consider the set of all permutations of the numbers 1, 2, 3. If you select a permutation at random,…

A: The total permutations with n numbers in the set is given by n! Therefore, the total permutations of…

Q: A two-digit number between 10 and 30 inclusive is written down at random. Find the probability that…

A: There are total of 21 numbers between 10 and 30 inclusive. Thus, the total number of outcomes is 21.…

Q: 6. The winning number for a certain lottery is 5 digits long and is determined by randomly selecting…

A: Combination: A combination could be a mathematical technique for decisive the amount of potential…

Q: At a certain hospital, 16 patients have lung cancer, 10 patients smoke, and 8 have lung cancer and…

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Q: One card is randomly drawn from a standard deck of 52 cards as shown in the figure below.  Using the…

A: In a standard deck of playing cards there are total 52 cards and 4 suits, such as hearts, diamonds,…

Q: Consider a political discussion group consisting of 8 Democrats, 7 Republicans, and 2 Independents.…

A: Given data,Number of democrats =8Number of Repubicans =7Number of independents =2Total members…

Q: A lottery box contains 50 lottery tickets numbered 1 to 50. If a lottery ticket is drawn at random,…

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Q: - Fernando has a blue number cube and a red number cube. The faces of each cube are numbered 1…

A: Note : We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Suppose that, on average, 4 persons in 1000 makes a numerical error in preparing his or her income…

A: Given: n = 10000 p = 41000 Formula Used: Poisson distribution:  If a random variable X follows…

Q: A die is weighted so that even numbers have same chänce of appearing, the odd numbers have the same…

A: ANSWER: From the given data,

Q: Consider a collection of envelopes consisting of 1 red envelope, 1 blue envelope, 3 green envelopes,…

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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.