Let S be the set of outcomes when two distinguishable dice are rolled, let E be the subset of outcomes in which at least one die shows an even number, and let F be the subset of outcomes in which at least one die shows an odd number. List the elements in the given subset.

Q: A woman has 10 pairs of shoes in disarray and on an untimely trip she randomly chooses 12 shoes.…

A: Given: Total = 20 n = 12

Q: Consider a system made up of three distinguishable 3-sided dice. If the macrostate of this system is…

A: When flipping a 3-sided dice, the total outcomes are 63=216 The outcomes for tossing a die are {1,…

Q: when a single die is rolled twice, let A be the event the die comes up ODD on the first roll and let…

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Q: a) Compute the probability that each hand has exactly two hearts and four diamonds. b) Compute the…

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A: It is an important part of statistics. It is widely used.

Q: assume there is three broken objects in a totalt of 25. A selection of 7 is picked randomly without…

A: we assume there is three broken objects in a totalt of 25. A selection of 7 is picked randomly…

Q: One red die and one blue die are rolled at the same time. Assuming that both dice are fair, how many…

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Q: At Technodynamics, Inc., a randomly-selected hiring committee of 5 people is formed from a group of…

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Q: When 2 fair dice is rolled, let X be the sum of number faced-up on two dice. Compute the probability…

A: We have given that, The 2 fair dice is rolled, let X be the sum of number faces-up on two dice.…

Q: a bag contains 12 balls, three of which are red, three blue and six black. Three balls are drawn…

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Q: Linda planned to spend 9 hours practicing piano his week. By Tuesday, she had spent 2 1/2 hours…

A: Introduction: A fraction represents a portion of a total. This entire area can be considered a…

Q: A red six-sided die and a green six-sided die are tossed. In how many ways is it possible for the…

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Q: Sarah collects figures from cornflakes packets. Each packet contains one figure, and n distinct…

A:

Q: If you roll to fair dice (one black die and one white die), in how many ways can you obtain a 6 on…

A: # If you roll to fair dice (one black die and one white die), in how many ways can you obtain a 6 on…

Q: Suppose that there are 43 candidates, 32 men and 11 women, who apply for the Graduate Hiring Program…

A: There are 32 men and 11 women. 8 candidates needed to be selected. X : Number of women selected. So,…

Q: to get the 7 macrostate?

A: here rolling two dice at at a time and add thier outcomes to get macrostate

Q: A bag contains four different balls colored Red, White, Blue, and Green. You cannot see into the bag…

A: If two balls are selected at random without replacement, For permutations, nPr = n!/(n-r)! Now, 2…

Q: A group of seven people are to be put into a line among these people are e,d,f,and s what is the…

A:

Q: A family wants to adopt pets from the local animal rescue. They have prepared a final list of five,…

A: Note:Hey there! Thank you for the question. As your question contains more than three parts,…

Q: There are three different types of circus prizes marked big (B), medium (M) and little (Z). Each…

A: Given that  big prize(B): 5 R and 8G. Total balls:5+8=13 Medium prize(M): 3R and 2G. Total…

Q: There are 7 6-sided dices in a box (each side shows a number from 1 to 6).Choose from the box three…

A: Dear students as per guidelines we answer the first three subparts only. Solution

Q: An unbiased dice, with faces numbered 1, 2, 3, 4, 5, 6, thrown n times and the list of n numbers…

A: Given: An unbiased dice was thrown 'n' times and the list of n numbers shown up was noted.   To…

Q: A single ball is drawn at random from a box containing 10 red balls, 3 white balls, and 4  blue…

A: It is given that the  A box containing 10 red balls, 3 white balls, and 4  blue balls i.e. there are…

Q: Two balls are to be drawn in succession without replacement from an urn containing 5 red balls and 6…

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Q: (2) A total of 3 freshmen, 5 sophomores, 3 juniors and 4 seniors are eligible for a $3000…

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Q: A card is randomly drawn from a deck of well-shuffled playing cards. Let event E be that the card is…

A: no.of ace cards=4no.of king cards=4Total no.of cards=52Let E be the event that the card is an aceF…

Q: There are 8 socks in your drawer: 4 black and 4 red. You take 3 of them with you in the dark. Which…

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Q: A box contains 14 red lamps, 26 Blue lamps, all the lamps being of the same shape and size. Two…

A: It is given that the box contains 14 red lamps, 26 blue lamps.

Q: A bad contains 3 black balls (B) and 5 white balls (W). Paul picks a ball at random from the bag and…

A:

Q: If n balls are placed at random into n urns, find the probability that exactly one urn remains empty

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Q: A circle is divided equally into 8 parts from 1 to 8. Let A = {1,2,5,6} and B = {5,6,7,8}. What is…

A: Concepts used: Event: Event is defined as set of outcomes in a statistical experiment. Union of…

Q: A coin has two sides "USD" and "Head". When this coin is tossed, the probability of it the "USD"…

A: Given : there are two possible outcomes when a coin is tossed . USD with probability 2/3 Head with…

Q: In a certain game, an urn contains 5 red, 7 white numbered balls. A ball is drawn at random from the…

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Q: 2. A bag contains 30 black and 40 white balls. What is: a) the probability of grabbing a white ball?…

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Q: ersonal computer manufacturer buys 38% of its chips from Japan and the rest from America. Of the…

A: The formula for conditional probability is, P(A|B)=P(A∩B)P(B)⇒P(A∩B)=P(A|B)*P(B) The formula for…

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”.