Suppose that it is equally likely for a child to be a boy or a girl. Suppose a parent tells you that she or he has 5 children. What is the probability that at least one is a boy given that at least 4 of the children are girls?

Q: If eight babies are born in a given hospital on the same day, a. What is the probability that three…

A: We are authorised to answer three subparts at a time since you have not mentioned which part you…

Q: In a certain community, 16% of the families own a dog, and 25% of the families that own a dog also…

A: Given: Probability family owns a dog, P(D)= 0.16 Probability family owns a cat, P(C)= 0.34 The…

Q: Suppose that 46% of people own dogs. If you pick two people at random, what is the probability that…

A: Independent Events:   The events A, B are said to independent if the occurrence of the event A do…

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

A: Given that, the probabilities that an automobile mechanic will service 3,4,5,6,7,8 cars on any given…

Q: In a certain population of women, 40% have had breast cancer, 20% are smokers and 13% are smokers…

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Q: Suppose that two friends are independently attempting to ride their bikes all the way from Normal to…

A: Suppose, A and B are friends. Their individual chances of success are 30% and 35%. Hence,…

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: If a hockey team loses 33% of the games they play, what is the probability that this team will win…

A: In an experiment, the probability of an event is the likelihood of that event occurring. Probability…

Q: If a card is chosen at random from a pack of cards, what is the probability that the card is from…

A: From the provided information, Total number of cards in standard deck = 52 Total black cards = 26…

Q: Suppose that it is equally likely for a couple to have a boy or a girl.   (a) Suppose a couple has…

A: Consider that, equally likely for a couple to have a boy or a girl. (a) Consider that  couple has…

Q: Three people have been exposed to a certain illness. Once exposed, a person has a 50-50 chance of…

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Q: In a certain​ country, the true probability of a baby being a boy is 0.45. Among the next seven…

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Q: (a) Suppose that 10 % persons in a large group of people are obese. If persons are checked one by…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If the probabilities that a cell phone technician will repair 5, 6, 7, 8, 9, or 10 or more cell…

A: Given info: # of cell phone Probability 5 0.12 6 0.15 7 0.15 8 0.26 9 0.13 10 0.17…

Q: Suppose that it is equally likely for a child to be a boy or a girl. Suppose a parent tells you that…

A: Given information- We have given that it is equally likely for a child to be a boy or a girl.…

Q: In a group of students, 45% play golf, 55% play tennis and 70% play at least one of these sports.…

A: Define some events A: A student plays golf B: A student plays tennis

Q: If eggs are laid and there is a 70% chance of them hatching   If there are 8 eggs, what is the…

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

Q: In a particular class, there are 12 freshmen, 6 sophomores, 4 juniors, and 2 seniors. If the…

A: Given,no.of freshmen=12no.of sophomores=6no.of juniors=4no.of seniors=2total no.of students =24

Q: A couple decides to continue to have children until they have two males. Assuming that P(male)=0.4,…

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Q: In the game of poker 5 cards are drawn from a pack of 52 well- shuffled cards. Find the probability…

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Q: Suppose that it is equally likely for a child to be a boy or a girl. Suppose a parent tells you that…

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Q: If the probability of a certain event is 24/61,what is the probability of the event not happening?

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Q: If there are 20 women and 10 men in a class, and you randomly picked out one person, what is the…

A: given there 20 women and 10 men we want to find the probability picked a woman ?

Q: A couple decides to continue to have children until they have two males. Assuming that P(male) =…

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Q: The probability that the children in a specific family will have brown eyes is 3/8. If there are…

A: Given that event=children will have brown eyes=3/8 Children without brown eyes=1-3/8=5/8 Total…

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: 21 There is a family that has two children. Suppose that girls and boys are equally likely, what is…

A: The probability of an event given A given event B is: PA/B=PA∩BPB Now, we have that event A is that…

Q: Suppose that it is equally likely for a child to be a boy or a girl. Suppose a parent tells you that…

A: Consider the event B denotes the boy and the event G denotes the girl. It is mentioned that boys and…

Q: a couple plans to have five children, what is the probability that they will have at least one girl?…

A: From the given information we find the probability.

Q: A bag contains 5 blue balls, 4 red balls, and 3 orange balls. If a ball is picked from the bag at…

A: Given  5 blue balls, 4 red balls, and 3 orange balls.

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

A: Let us denote X=the number of boys   n=number of trials=4 p=probability of success=1/2 =0.5   X…

Q: A box has 18 blue hats and 30 red hats. If you pick 2 hats without replacement, what is the…

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Q: A bag contains 7 white and 9 black balls. The balls are drawn in succession at random, what is the…

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Q: Consider a family with three children. Given that at least one of the children is a boy, what is the…

A: Given,a family has 3 childrenthe probability of having a boy is 0.5and  the gender of the second…

Q: At a certain hospital, 36 patients have lung cancer, 28 patients smoke, and 24 have lung cancer and…

A: Topic = Probability

Q: In an experiment, the probability that event A Occurs is and the probability that event B 6 occurs…

A:

Q: At a certain high school, calculus is a very popular subject. The class consists of 60% seniors, 30%…

A: Given that The class consists The seniors           =  60%  =  0.60  The juniors            =    30%…

Q: If 20% of the chips produced by a company are defective, thenthe probability that at most 3 out of 5…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: (a) What is the probability that exactly 3 of 5 light users are HIV positive? (b) What is the…

A: Here , To find required probabilities ,  one of the method , Binomial probability law can be used.…

Q: A family has 2 children. Given that one of the children is a boy, what is the probability that the…

A: The probability is a branch of mathematics or statistics which basically deals with the chances of…

Q: A card is drawn from an ordinary deck and we are told that it is red. What is the probability that…

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Q: In a certain community, 40% of the family have a pool in the backyard, 65% have kid(s) and 30% have…

A:

Q: A bag contains 10 green balls and 6 orange balls. If a ball is picked at random, what is the…

A: Given: Number of green balls is, ng=10. Number of orange balls is, no=6. The objective is to find…

Q: The probability that a person will have 0, 1, or 2 dental checkups per year is 0.3,0.6 , and 0.1,…

A: if there are m no. of event with probability p1,p2,....pm and if we carry out Experiment with N…

Q: Suppose that 40% of boys opted for mathematics and 60% of girls opted for mathematics. What is the…

A: Define the events as: B: The student is a boy B' : The student is not a boy (the student is a girl)…

Q: Two cards are drawn in succession without replacement, in a deck of ordinary cards. If it is known…

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Q: Suppose that about 55% of the people who are murdered actually knew the murderer. Suppose that a…

A: It is given that, the proportion of people who are murdered actually knew the murdered (p) is 0.55…

Q: A certain airline books 250 passengers for a certain flight that can seat only 212. If past studies…

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Q: A class has six students. What is the probability that at most four of the students were born on a…

A: We know that there are 7 days in a week. The number of weekdays=5 So the probability of having 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.