An Ice cream shop examines the orders of his customers, and noticed that: All his customers bought at least one scoop of ice cream 70% of the customers bought more than one scoop 20% of the customers chose vanilla flavor Of the customers who bought more than one scoop, 15% chose vanilla. Find the probability of a customer bought just one scoop, and this scoop was not vanilla a. flavor. b. A customer is noticed to has a vanilla order, what is the probability that he bought only one scoop? C. A customer is noticed to has a one scoop only, what is the probability that he chose a vanilla flavor? d. Find the probability of a customer bought more that scoop with vanilla flavor.

Q: In recent study of nurses of a local hospital, eight hundred and twenty four said that they prefer…

A:

Q: In a group of students, 70% are taking an English class and 19% are taking a Chemistry class. Among…

A: Given that, P(E)= 70% = 0.70 P(C)= 19%= 0.19 P(C/E)= 7%= 0.07 P(C Ω E)=?

Q: In a company survey of 1000 skiers and bikers it is found that 80% like skiing and 60% like biking.…

A:

Q: 5% of the people in a population suffer from high blood pressure. Of people with high blood…

A: Let H= people suffer from high blood pressureA =regular consumers of alcoholic…

Q: Suppose the table summarizes the opinions of various groups on the issue of oil drilling in national…

A: Given that there are total (20+15+30+185)=250 non-whites Among them (30+185)=215 opposes oil…

Q: In a recent study, 29% of people surveyed indicate chocolate was their favorite flavor of ice cream.…

A:

Q: What is the probability they will have type O blood and Rh negative?

A: Given that, P(type O blood) = 44% = 0.44 P(type A blood) = 42% = 0.42 P(type B blood) = 10% = 0.10…

Q: According to a recent national survey, 49% of students who attend a public university graduate with…

A: p = proportion of graduates had at least $ 15000 of debt. p = 0.49n = 200P(p^≥0.55) = ?

Q: Keith's Florists has 15 delivery trucks, used mainly to deliver flowers and flower arrangements in…

A: The population size is 15, sample size is 6 and number of defectives are 7.

Q: Pip is the proud owner of an eclectic bow tie collection. He keeps track of how many bow ties he…

A: GivenThe probability that a bow tie is designed with zigzags = 0.5The probability that a bow tie is…

Q: In a popular online role playing game, players can create detailed designs for their character's…

A: It is given that, 236 visitors purchased no costume, 202 visitors purchased exactly one costume, and…

Q: In a recent study, 65% of people surveyed indicate chocolate was their favorite flavor of ice cream.…

A: Given,n=11p=0.65Let X =no.of people name their favorite flavor of ice cream.X~Binomial(n=11 ,…

Q: The probability that a can of paint contains contamination is 3.23% and the probability of a mixing…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:

Q: help please answer in text form with proper workings and explanation for each and every part and…

A: Part 2: ConclusionAnalyzing the effects of an increase in licensing costs for ride-share services…

Q: A customer visits a shopkeeper. The shopkeeper knows that 1 in 10 customers have coronavirus. One…

A: It is given that 1 in 10 customers have coronavirus and 1 in 23 customers have flu. 71% of customers…

Q: The nursing department of a college surveyed two hundred graduates from their programs about their…

A: Given Data: P( bachelor's degree)=0.45 P( working in nursing)=0.85 P( in nursing and bachelors)=0.4

Q: In recent study of nurses of a local hospital, eight hundred and twenty four said that they prefer…

A:

Q: In a survey of consumers aged 12 and​ older, respondents were asked how many cell phones were in use…

A: Given: Number of respondents answered none = 208 Number of respondents answered one = 295 Number of…

Q: ocal university has a student population that is 57% male. 64% of the students are undergraduates;…

A: In probability theory, an event is an outcome or a set of outcomes of a random experiment to which a…

Q: In a survey of 96 baseball fans in NYC, 46 were fans of the Mets, 63 were fans of the Yankees and 30…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 95% of…

A: Let us denote:  A=football players B=basketball players Given that P(A)=95% = 0.95 , P(B)=4% =0.04 ,…

Q: The radio broadcast of AM station KTBC can be heard in the neighboring towns of Waterville and…

A:

Q: In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use…

A: From the given information ,Total respondents = 201 + 296 + 376 + 138 + 117 .…

Q: In a survey of employee satisfaction, the following table summarizes the results in terms of…

A: male female total satisfied 27 18 45 dissatisfied  33 22 55   60 40 100

Q: Dan's Diner employs three dishwashers. Al washes 20% of the dishes and breaks only 2% of those he…

A: Given: P(AI) = 0.20 P(Betty) = 0.40 P(Chuck) = 0.40 P(Break | Betty) = 0.02 P(Break | Chuck) = 0.04…

Q: Brian is undecided as to whether to take a French course or a Russian course. He estimates that his…

A: Answer  Given  Probability of receiving an A grade would be in a French course =1/3 and in Russian…

Q: In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use…

A: Obtain the probability that his/her household has four or more cell phones in use. The probability…

Q: In a survey of students, 60% were in high school and 40% were in middle school. Of the high school…

A: A measure of the likelihood or chance of an event occurring is termed 'probability'. It quantifies…

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 49% of…

A: Given: Pfootball=0.49Pbasketball=0.22Pfootball and basketball=0.11 The probability that they are…

Q: What is the probability that he takes bus normally?

A: HERE USE TREE DIAGRAM FOR GIVEN INFORMATION

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 46% of…

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

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.