Random outcomes For each of the following scenarios,decide if the outcome is random.a) Flip a coin to decide who takes out the trash. Is whotakes out the trash random?b) A friend asks you to quickly name a professionalsports team. Is the sports team named random?c) Names are selected out of a hat to decide roommatesin a dormitory. Is your roommate for the year random?

Q: There are 4 quarters and 2 dimes and 1 nickel in a coin pouch. Two coins are selected at random. If…

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Q: A bag contains 17 red marbles, 27 green marbles, and 22 blue marbles. You choose a marble at random…

A: Explanation of the answer is as follows

Q: A. For one question, what is the probability that a student will answer it correctly if he has 3…

A: A student is given a test consisting of 15 multiple choice questions, each having 3 possible…

Q: Pablo randomly picks five marbles from a bag of eleven marbles (six red ones, three green ones, and…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: The student government is having an election for student body president, vice president, and…

A: Given, Election for president, vice president and treasurer Posts = {'president', 'vice president'…

Q: Four donuts and three muffins. A guest takes an item at random from the platter but does not replace…

A: A tree diagram is used to represent a probability space. Each node of the tree on the diagram…

Q: Identify the population and sample in this study.

A: The director of a nationwide car rental company chooses at random 500 people age 60 or older from…

Q: Find the number of possible outcomes in the sample space. You flip two coins and roll a six-sided…

A: First, we need to identify the number of outcomes for each event. In this case, we have two events:…

Q: Tyler decides which type of pizza to order. The choices for crust are thin crust or regular crust.…

A: The objective of this question is to determine the total number of possible outcomes in the sample…

Q: A paper bag contains three green,four brown and five yellow beads. To win a game, Zoe needs to draw…

A: Given, a paper bag contains 3 green, 4 brown and 5 yellow beads. so we have a total of 12 beads…

Q: Find the number of ways can we arrange, 2 Chocolate cakes, 4 Oran and 10 Cheese cakes in a row. * O…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Powerball is a large lottery in which players try to guess the numbers that will turn up in a…

A: Solution: power ball number  Observed frequency  Expected frequency 1-7 8-14 15-21 22-28…

Q: Read the following and answer the questions.  Traffic department wants to know if automobile…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Quality control. An auto parts store receives a shipment of 30 electronic car battery testers, 4 of…

A: Given that, An auto parts store receives a shipment of 30 electronic car battery testers, 4 of which…

Q: A spinner with one blue and one red section is spun. Then a four-sided die with numbers 1 through 4…

A: Introduction: It is required to obtain the sample space, and count the number of possible outcomes.

Q: P6. Consider the process of a student showing up for an exam in the wrong classroom and have…

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Q: Assume that you guess on each question of a multiple choice test. There are 12 questions and each…

A: Given Data: The number of questions is: n=12 The possible answers to each question are: r=4 The…

Q: A box contains six tickets lettered A, B, C, D, E, and F. Two tickets will be randomly selected from…

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Q: Find the number of possible outcomes in the sample space for the following scenario: You have a…

A: Find the number of possible outcomes in the sample space for the following scenario: You have a…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: (a) Find the expected value of playing the game. dollars (b) What can Isabel expect in the long run,…

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Q: Kaitlin has a bag with 8 balls numbered 1 through 8. She is playing a game of chance. This game is…

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Q: Eva is playing a game at the school carnival. There is a box of marbles, and each box has a white, a…

A: The box has a white, a green, a blue, and an orange marble. So there are 4 marbles.  We can pick a…

Q: Read the following and answer the questions.  Traffic department wants to know if automobile…

A: Hi! Thank you for posting the question. Since your question has more than three sub-parts, we have…

Q: Andy flipped a coin once and rolled a six-sided number cube numbered 1 through 6. The list below…

A: Given, flipped a coin once and rolled a six-sided number cube numbered 1 through 6. The possible…

Q: how many ways could 2 contaminated farms and 8 noncontaminated farms be chosen?

A: Soil Samples An environmental agency is analyzing soil samples from 50 farms for lead contamination.…

Q: 10 coin flips yield heads or tails. Which outcomes have at most four tails?

A: 10 coin flips yield heads or tails.  Each coin have two possible outcomes head or tail. So Total…

Q: There is money to send four of seven student council members on a trip to Washington DC. All want to…

A: Given Information: Number of members = 7  Number of members to be send for trip = 4

Q: How many outcomes are possible when you roll 3 dice?

A: Here, we need to find out the total possible outcomes to roll 3 dice.

Q: Two cards are drawn. After the first card is drawn and recorded it is put back in the deck. Then a…

A: General formula of probability is ,  Probability = Number of favorable outcomes Total outcomes…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.