List the elements of the set. The set of all outcomes of rolling two indistinguishable dice such that the numbers add to 8.

Q: Let the event E be the sum of a pair of six-sided dice that is divisible by three. List the events…

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Q: This Venn diagram shows sports played by 10 students. PLAYS PLAYS BASKETBALL SOCCER Jada Ella Fran…

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Q: Calculate the probability that a single roll of a fair backgammon dice will come 4 or 1 A) 2/8…

A: Calculate the probability that a single roll of a fair backgammon dice will come 4 or 1

Q: What is the probability of rolling two six-sided dice and obtaining the following numbers? a. 2 and…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: List the elements of the set. The set of all outcomes of rolling two indistinguishable dice such…

A: To find the outcome of rolling two dice , such that the number add to 10. D1 = {1,2,3,4,5,6} D2 =…

Q: Please create an experiment (Dice, cards, or spinners can be used)  that must consist of 3 actions.…

A: We know that the ,  An experiment is a controlled study in which the researcher attempts to…

Q: two cubicle dice, each with faces numbered 1,2,3,4,5 and 6 are tossed. What is the probability of…

A: Solution

Q: A bag contains 5 red marbles, 3 blue marbles, 2 green marbles, 1 yellow marble and 1 purple marble.…

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Q: Which of the following is equivalent to S = {spring, summer, autumn, winter}? (you may select more…

A: S = {spring, summer, autumn, winter}?   1. {x | x = sides of a standard dice} 2. {x | x = former…

Q: List the outcomes that comprise the event (X U Z)

A: Given: The 4 finalists are : Anne, Ben, Collin, Daisy Sample space AB, AC, AD, BC, BD, CD, BA, CA,…

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: A bag contains 5 (R)ed marbles, 10 (B)lue, and 7 (P)urple marbles. Find the Following: a. The…

A: a)GivenTotal number of Red marbles = 5Total number of Blue marbles = 10Total number of Purple…

Q: Consider two six-sided dice. a. Calculate the probability of rolling a "3" on a single die. b.…

A: Solution: 15. Suppose two dice are rolled. Then, the sample space is Number of elements in the…

Q: A, B, C, D, and E are deciding the order of tryouts. (a) B does not want to be the first and D does…

A: Hello thank you for the question. According to our honor code can answer three parts at a time. As…

Q: Five people, designated as A,B,C,D,E, are arranged in linear order. Assuming that each possible…

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Q: 7. One letter is taken from each of the words PARALLEL and LEVEL at random. What is the probability…

A: There are 2 letters common in both the words (E and L). Since there are 8 letters in word PARALLEL…

Q: 10. Two dice are rolled yet again. Define the following two events A = the sum of the faces is six,…

A: Two dice are rolled. So total number of sample points is 36.

Q: Show that the multiplication law P(A~B) P(A/B) P(B), established for two events, may be generalized…

A: We have, P(A|B) =P( A∩ B) / P(B)    .....(1) According to multiplication rule, P( A∩ B)= P(…

Q: Give the outcomes for each of the following events. If there is more than one element in the set,…

A: The possible outcomes for event A are {5,6} And for event B are {1,3,5}

Q: Let a random experiment be the cast of a pair of unbiased dice each having six faces, anc let r.v. Y…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: How many possible outcomes are there for getting a sum of 7 or 11 on a pair of dice? (Hint: Look at…

A: By throwing pair of dice , number of possible outcomes are :  Since we have only 2 dice.Check out…

Q: For a 13 sided dice the probablity of rolling 5 is. Write the answers upto 2 decimal.

A: From the given information, number of sides that the given dice consists n(S) = 13. The points on…

Q: In a board game, a player rolls a 6-sided dice with the numbers 1 to 6 on it, and spins a spinner…

A: Solution: From the given information, a player rolls a 6-sided dice with numbers 1 to 6 and spins a…

Q: If a single choice is made from the group of marbles shown, find the probability of the event that a…

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Q: A card is selected at random with replacement from the following four cards: 8 of diamonds, 9 of…

A: Ans#  A card is selected at random with replacement from the following four cards: 8 of diamonds, 9…

Q: (AN B)°n C°

A: Given,         sets(events): A = {2 ≤ outcome ≤ 5}, B = {outcome ≥ 3}, and C = {outcome is odd}

Q: you toss a pair of dice. a) determine the number of possible pairs of outcomes.

A: Die is a traditional cube it has a 6 faces.Total number of outcomes for two dice are,

Q: If A and B are mutually exclusive events and P(A) = and P(B) =, find (a) P(A U B); (b) P(B'); (c)…

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Q: 2. Let X represent the sum of two dice. complete the table P(x)

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Q: For each question: a. List the outcomes for the event. b. State the probability of the event. The…

A: Event is given by E: The arrow lands on an even number.

Q: A subset of outcomes is defined as a(n): Select one: a. Event b. Outcome c. Sample d. Probability

A: A sample space of an experiment is the set of all possible outcomes and an event associated with a…

Q: 7. A basket contains two apples, three lemons and one orange. If two fruits are drawn at random with…

A: Note:-Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: Suppose we roll 2 six-sided dice. Let X be their sum and Y be the larger value of the two. (a) (10…

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Q: List the elements of the set. The set of all outcomes of rolling two indistinguishable dice such…

A: Use the given information.

Q: Let the event E be the sum of a pair of dice that is divisible by 6. List the events in E“.

A: The sample space for two standard dice is given as:

Q: A blue die and a red die are thrown. B is the event that the blue comes up with a 6. E is the event…

A: E ∩ B means E and B, this means blue comes up with a 6 and sum of the dice is 8. This can only…

Q: Of the 36 possible outcomes in the table below, determine the number for which the sum (for both…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Given the graph of a random function, select a pair of statements that can be generated from the…

A: Graph of sinx

Q: A couple has 3 kids. Use a tree diagram to find the probability that they nau m gin. 4 1/2

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Q: If n(A) = 61, n(B) = 15, and n(A ∩ B) = 4, find n(A ∪ B).

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: Assume that two standard dice are being rolled. Let event A = (the sum is a multiple of 3} and event…

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Q: Let E be the event where the sum of two rolled dice is divisible by 6. List the outcomes in E^c.

A: In question, Given that E be the event where the sum of two rolled dice is divisible by 6. Then…

Q: Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for…

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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: The set S = {a, b, c, d} is the sample space for an experiment. Find the probability that outcome c…

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Q: За The following diagram shows a board which is divided into three regions A, B and C. A B C A game…

A: We know that total probability of an event is one. So to find the probability that the dart doesn't…

Q: Roll a pair of fair six-sided dice and let X be 1 if the dice land showing the same number of spots,…

A: Solution

Q: a. Five dice are rolled. b. Notebooks come in 4 colors: red, yellow, green, and blue: They come in 2…

A: We need to find number of possible outcomes for each case.

Q: A bag contains letter tiles that spell the name of the state MISSISSIPPI. Find the theoretical…

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.