A coin is tossed 3 times. Find the following: (a) the probability that the coin lands heads at least twice. (b) the conditional probability that the coin lands heads at least twice given that the first coin toss lands heads. (c) the conditional probability that the coin lands heads at least twice given that it lands heads at least once.

Q: You have relatives coming for dinner this weekend.  The probability that your uncle Josiah will show…

A: given data  event A: uncle josiah show up B : aunt beatrice show up   P(A) = 0.48 P(B) = 0.43 P(A∩B)…

Q: What is the Probability a couple has two children at least one of them is a boy. Assume that the…

A: Given that, The boys and girls are equally likely. P(boy) = 0.5 P(girl) = 0.5

Q: If the probability that an event does no occur is 0.3 determine the probability that the event…

A:

Q: Waiting times for customers in an airline reservation system are (in seconds) 953, 955, 948, 951,…

A: Data953955948951957949954950959

Q: A physics class has 50 students. Of these, 18 students are physics majors and 16 students are…

A: From the given information, total number of students n(S) = 50. Number of physics majors n(Physics)…

Q: Probability that Joe eats an apple on Tuesday is 0.4. The probability that Mark eats and apple on…

A:

Q: Levi buys a bag of cookies that contains 8 chocolate chip cookies, 8 peanut butter cookies, 6 sugar…

A: Obtain the probability that Levi randomly selects an oatmeal cookie from the bag eats it, then…

Q: Joseph is applying for admission to a university he must complete a written application and then…

A: Given that: Probability of been approved on a written application is p(A) =0.55 The probability of…

Q: The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it being sunny and…

A: Given that, The chance of rain is 20% The chance of it being sunny is 60% The chance of it being…

Q: Assume that there are 15 board members: 10 females, and 5 males including Joe. There are 2 tasks to…

A: Given information: According to the given information, the total number of board members is n(S) =…

Q: Suppose a batsman can hit the ball 50% of the time. Assume that the batsman has seen 6 balls and hit…

A:

Q: The probability that a baseball player hits a home run in any one inning is 0.30. What is the…

A: Given that: Probability of hitting a home run in any one inning is =0.30

Q: Because not airline passengers show up for their reserved seat, an airline sells 125 tickets for a…

A:

Q: You toss twice coins. What is the probability that both land Tails up?

A: Given, Possible outomes => [h,h] [h,h] [t,t] [t,h]Favourable outcomes =[t,t] = 1number of…

Q: the probability an airplane arrives on time 80% of the time.Out of ten flights, what is the…

A: Given that  Probability an airplane arrives on time is 80%   P =0.80 (1-P) = 1-0.80 = 0.20 Sample…

Q: A candle company sends giveaways to 70% of all the possible customers. Twenty-five percent of the…

A: Given Information: A candle company sends giveaways to 70% of all the possible customers. 25% of the…

Q: A tennis player makes a successful first serve 30% of the time. If she serves 33 times, what is the…

A: Solution: Let X be the number of first serves and n be the number of times she serves. From the…

Q: The probability that a person owns a microwave oven is 0.55, that a person owns a compact disk…

A: Given that  P(A)=0.55 , P(B)=0.45 , P(A n B)=0.11 A=own microwave,  B=CD player  A n B=both a…

Q: The probability that a student graduating from a university has student loans to pay off is 0.60.…

A: event A : has student loan to pay off after graduation event B : maleP(A) = 0.60P(A∩B) = 0.24P(B|A)…

Q: Suppose that the probability that a child living in an urban area in the United States is obese is…

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.