A family plans to adopt three pets (one pet on Day 1, one on Day 2, and one on Day 3) and they want to have some combination of cats and dogs. Suppose this family decided to pick their pets completely at random. They love cats and dogs equally, therefore the probability of picking a cat is the same as picking a dog (probability = 0.50).  Let C = a cat is picked     and     D = a dog is picked   What is the sample space for their three pets? There should be eight possible unique arrangements of cats and dogs in this sample space.         What is the probability the couple ends up with at least one dog?

Q: Suppose that you sampled 2 CEOs with replacement instead. How many different samples are possible,…

A: Sampling is a process which is used in statistical analysis. In sampling a predetermined number of…

Q: Delta Airlines' flights from Chicago to Seattle are on time 50 % of the time. Suppose 11 flights are…

A:

Q: contains 2 red, 5 green, 6 blue, and 5 yellow marbles. If a single marble is chosen at random from…

A: So by using definition of probability we can solve given problem-

Q: Two dice are rolled one after the other. Construct a sample space and determine the probability that…

A:

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: The probability that at least 1 freshman is chosen for the committee is ?

A: Let p be the proportion of freshmen. Given that p = 29% = 0.29 Also, X denotes number of freshmen on…

Q: At a local college, 76 of the male students are smokers and 114 are non-smokers. Of the female…

A:

Q: A poll is given showing 50% are in favor of a new building project. If 9 people are chosen at random…

A: Given data, p=0.50 n=9 P(X=3)=?

Q: We asked 6 students how many times they rebooted their computers last week. . There were 4 Mac users…

A:

Q: The sample space contains 7As and 6 Bs. What is the probability that a randomly selected set of 3…

A:

Q: A 4-sided die can be used to select a number at random from the numbers 1, 2, 3, 4.  Suppose you…

A:

Q: Subjects were randomly chosen for a clinical trial consisting of 87 women and 88 men. 17 of the…

A:

Q: Suppose that a course has 3 sections with 50, 70, and 80 students, respectively. We random pick one…

A:

Q: A box of 50 diodes contains 10 defective diodes. Suppose 10 diodes are selected at random and…

A: There are 50 diodes and 10 are defective in them and 10 are selected for inspection, let X be the…

Q: A rental car company wants to investigate whether the type of car rented affects the length of the…

A: Given Data : Type 1 = 7, 4, 7, 4, 4, 6, 1, 5, 5, 1 Type 2 = 4, 7, 3, 5, 2, 10, 6, 5, 8, 7 Level of…

Q: Suppose that 20% of fruit flies possess a certain gene.  If we randomly select 20 fruit flies, find…

A: Here given that 20% of fruit flies possess the gene. In a sample of 20 we need to find the…

Q: A box contains 4 left-handed gloves and 6 right-handed gloves.  If we randomly select 4 gloves from…

A: The answer is 3/7.

Q: A psychology class consists of 32 freshmen and 48 sophomores. If the professor selects names from…

A: There are 32 freshmen and 48 sophomores. The total number of students is 32+48=80. 1. The…

Q: A class consists of 10 males and 30 females. If one student is randomly selected from the class,…

A: We have given the  that  10 males  30 females  Total = 40

Q: In a game of chance a player rolls a fair six-sided di and flips a fair coin. Make a sample spacefor…

A: We need to create a sample space for an experiment that involves rolling a six-sided die and…

Q: Uttar Pradash, Rajasthan and Bihar are subregions of India. It is reported that 94% of Uttar Pradash…

A: Given,P(Uttar Pradash residents say Hindi is their first language of choice)=0.94P(Rajasthan…

Q: According to the historical data, the life expectancy in Argentina is equal to the life expectancy…

A:

Q: Suppose that a company owns 500 computers. Each computer has an 11% probability of not working.…

A: It is given that n =19.

Q: A box has four cards numbered 1, 2, 3 and 4. Keiko will toss a coin once and record the toss as…

A: From given  A box has four cards numbered 1, 2, 3 and 4. And let H=Heads T=Tails

Q: assume that when adults with smart phones are randomly selected 58% use them in meetings or classes…

A: This is a Binomial Distribution Problem, therefore we can use the formula:…

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.