If a family has four children, is it more likely ... they will have two boys and two girls or three of one sex and one of the other? Assume that the probability of a child being a boy is and that the births are independent events.

Q: a. If a piece of produce is purchased, what is the probability that it is superior grade? b. If a…

A: Given: PS|X=12%P(S|Y)=8%P(S|Z)=15%P(X)=20%P(Y)=45%P(Z)=35% To find: a) PS b) PX|S

Q: If the probability of having green eyes is 15%, the probability of having a brown hair is 70%, and…

A: Let G represents the green eyes And B represents the brown hair So P(G)= 15% = 0.15 P(B)= 70% = 0.70…

Q: If a family has four children, is it more likely they will have two boys and two girls or three of…

A: Let X=the number of boysn=number of trials=4p=probability of success=12=0.5X follows a binomial…

Q: In a shooting game, the probability for Ali to hit a target is , and the probability for Ahmad to…

A: Answer - The probability for Ali to hit a target is   P(A) =  1/2                The probability for…

Q: A poll finds that 72% of Jacksonville consider themselves football fans. If you randomly pick two…

A: According to the provided information, 72% Jacksonville consider themselves football fans. So, the…

Q: If a teacher calls on a student randomly to answer a question, what is the probability the student…

A: Given : In a certain class of students, there are 9 boys from Morrow, 6 girls from Stockbridge, 10…

Q: If you pick one card at random from a standard deck of cards, what is the probability it will be a…

A: There are 52 cards in a standard deck of cards  There are 26 black cards and 2 cards of two, which…

Q: (a) If the selected rat is found to be infected, what is the probability that it is a female? (b) If…

A: Of 20 rats in a cage, 12 are males and 9 are infected with a virus that causes hemorrhagic fever. Of…

Q: A standard deck of 52 cared is shuffled, and one card is draw . What is the probability that the…

A: Number of cards in a deck n(S)=52 a)P(Red cards)=?

Q: When two events are independent, the probability of both occurring is: Select one: A. P(A and…

A: If the probability of occurrence of an event A is not affected by the occurrence of another event B,…

Q: If the experiment is in state 2 on the third observation, what is the probability that it will be in…

A:

Q: a. Assuming that the traveler is a male, what is the probability that he sleeps in pajamas? b. What…

A: Here use given contingency Table to answer the question

Q: If the probabilities that an automobile machine will service 3,4,5,6,7, or 8, or more cars on any…

A: Given Information: The following table represents the number of cars that automobile mechanic will…

Q: If 63% of the people at a certain conference are doctors, 48% are women, and 39% are doctors, what…

A: The following information has been given: The probability that people at a certain conference are…

Q: Ms. Smith asks the students in one of her classes if they have a cat or a dog. Her results are…

A: To find the probability that a randomly selected student who has a dog given the student has cat :

Q: A meteorologist says that the probability that it will rain on Saturday is 30%, the probability that…

A: let event E: it will rain on Saturday and event F: it will rain on Sunday event E∩F: it will rain on…

Q: card is drawn from a deck of bridge cards, so the probability of choosing a Diamond card or an Ace…

A:

Q: When looking at the association between the events “owns a car” and “owns a pet,” if the events are…

A: Proceed as shown below...

Q: A group of students is surveyed and 55% of the group is from Midland and 40% of the group like…

A: According to the provided data, the probabilities are;

Q: 50 students at Holy Spirit High were interviewed to determine what sports they played, if any, and…

A:

Q: When looking at the association between the events "owns a car" and "owns a pet," if the events are…

A: use the formula for the probability of an independent event

Q: Events are independent if the occurrence of either of them has no effect on the probability of the…

A: Yes,  If the occurrence of one event has no effect on the likelihood of another event, the two…

Q: What is the probability of being accepted into a graduate program or receiving a job offer? That is,…

A:

Q: In a certain high school, 20% of the students belongs to the math club, 10% belongs to the student…

A: here define events student belongs to math club = M student belongs to council = C p(M) = 0.20  p(C)…

Q: Suppose P(A) = 0.2 and P(B) = 0.35, and P(A or B) = 0.48, for two events A and B. What is the…

A:

Q: A survey is being conducted in a county where 63% of the voters are Democrats and 37% are…

A: Given: A survey is being conducted in a country where 63% of the voters are democrats and 37% are…

Q: 3) Suppose the probability of Kevin attending a party is 80% and the probability of Judy attending a…

A: Given: P( A) = P( kevin attend party) = 0.80 P(B) = P( judy attend party) = 0.95 Events A and B are…

Q: About 14​% of the population of a large country is hopelessly romantic. If two people are…

A:

Q: A card is to be randomly drawn from a standard deck of 52 playing cards. If event A is drawing a red…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: At a certain college, 30% of the students major in engineering, 20% play club sports, and 10% both…

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

Q: When looking at the association between the events "owns a car" and "owns a pet," if the events are…

A: We have to check

Q: The bargains Auto Mall has the following cars in stock. SUV 20 Mid-sized 20 45 Compact Foreign…

A: Probability is the ratio of favorable outcomes and the total number of possible outcomes, i.e,…

Q: In a class, 40% of the students play basketball, 20% of the students play football and 10% of the…

A:

Q: a) If you choose a person at random, what is the probability that the person is color-blind? b) If a…

A: E1: Men   P(E1) = 0.5 E2: Female  P(E2) = 0.5 A: Color Blind P(A|E1) = 0.05 P(A|E2) = 0.0025

Q: The chances of a delegate attending a certain seminar arriving via plane, bus, vehicle, or rail…

A:

Q: What is the probability that Larry Bird makes exactly one of his two free throws?

A: Let p be the probability that Larry bird makes free throw. Given that p = 0.50 Let X denote the…

Q: 1) If a family has four children, is it more likely they will have two boys and two girls or three…

A: Solution : Given : A family have four children and probability of a child being boy = 0.5 ∴…

Q: Given a family of two children (assume boys and girls equally likely, that is, probability 1/2 for…

A: Probability of both boys and girls is 12. Determine the probability that both are Boys. P(both…

Q: If two events are independent, what is the probability that they both occur? O 0.5 O 1.00 Cannot be…

A: Introduction: Consider two events, A and B. Independent Events: The events A and B are said to be…

Q: in the home is as follows. Adult bedroom: 0.18 Child bedroom: 0.18 Other bedroom: 0.18 Office or…

A: Given data: Adult bedroom=0.18 Child bedroom=0.18 Other bedroom=0.18 Office or den=0.48 Other…

Q: Assume that Jim, Bruce, and Valerie are three of the 35 members of the​ class, and that three of the…

A: We have to find out given probability . ..

Q: All Seasons Plumbing has two service trucks that frequently need repair. If the probability the…

A: It is given that, the probability the first truck is available is 0.75, the probability the second…

Q: What is the probability that a. A camper entering the Camp Sinai is a cyclist? b. A cyclist entering…

A: here given, The probability that a cyclist in a bicycle entering the Camp Sinai is 0.12; the…

Q: In a family of eight children, what is the probability that (a) the third child is a girl? (b) six…

A: It was stated that in a family there are eight children. Need to find the probability of the…

Q: Tom,Dick and Harry have three deck of cards.If each of them pick pne card from their own deck at…

A: Given,  Tom,dick and Harry have three deck of cards. Each of them pick one card from their won deck.…

Q: the teachers’ room 60% are women; one in three women wears glasses and one in two men wears glasses:…

A:

Q: the probabilities that an automobile mechanic will service 3, 4, 5, 6, 7 or 8 or more cars on any…

A:

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.