In the switching circuit shown below, the switches are assumed to operate randomly and independently. B са D The probabilities of the switches being closed are Pr (A) = 0.1, Pr (B) = Pr (C) : = 0.5 and Pr (p) = 0.2. Find the probability that there is a complete path through the circuit.

Q: Find the probability of at least 2 female visitors in 17 visitors to Mt. Rainier National Park.…

A: The provided information are: Probability of success (p) = 0.5 Number of trials (n) = 17

Q: Suppose among a population of students 50% own a laptop and 30% of the total have a laptop but no…

A: Answer:- Given information is, P( laptop) = 50% = 0.50 P( laptop and no tablet) = 30% = 0.30  P(…

Q: The two-way table shows the number of eggs laid by 10 Rhode Island red chickens and 10 leghorn…

A:

Q: Suppose that A and B are independent events such that P(A) = 0.3 and P(B) = 0.2. Find P(A&B).

A: The Special Multiplication Rule (for two independent event)

Q: Find P(A or B or C) for the given probabilities. P(A) = 0.36, P(B) = 0.24, P(C) = 0.16 P(A and…

A: P(A)=0.36P(B)=0.24P(C)=0.16P(A and B)=0.11P(A and C)=0.03P(B and C)=0.07P(A and B and C)=0.01

Q: (d) What is the probability that each person wins one match? (Hint: There are two different ways for…

A:

Q: Find P(A or B or C) for the given probabilities. P(A) = 0.38, P(B) = 0.25, P(C) = 0.14 P(A and B) =…

A:

Q: Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if Bob goes…

A: Given, Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if…

Q: P(A)=0.46P(A)=0.46, P(B)=0.29P(B)=0.29 and P(AandB)=0.25P(AandB)=0.25. P(B∣notA)=  Use the…

A:

Q: Robots Qunz and Ruu produce 10% and 90% respectively of the production of a component intended for…

A:

Q: Find P(A or B or C) for the given probabilities. P(A) = 0.35, P(B) = 0.28, P(C) = 0.14 P(A and B) =…

A: Given : P(A) = 0.35 P(B) = 0.28 P(C) = 0.14 P(A and B) = 0.13 P(A and C) = 0.04 P(B and C) = 0.09…

Q: An oil drilling company is considering 2 sites for its well. The probabilities for getting a dry, a…

A: A company is considering two sites for its well and also we have given their chances of getting…

Q: Consider a gambler who at each gamble is equally likely to either win or lose $1. Suppo that the…

A: From the given information, Each gamble is equally likely to either win or lose $1. P(1)=P(-1)=1/2…

Q: When a customer enters a drugstore, the probabilities that he or she will have 0, 1, 2, or 3…

A: 1. Given: The probability of persons having 0 prescription is 0.55, 1 prescription is 0.30, 2…

Q: Find​ P(A or B or​ C) for the given probabilities.   P(A)=0.39, P(B)=0.24, P(C)=0.18 P(A and…

A:

Q: An office has 2 fire detectors. Suppose that 3 out of every 100 fire detectors will fail to go off…

A: It is given that, 3 out of every 100 fire detectors will fail to go off during a fire.

Q: One girl and one boy One girl who is left-handed and one boy who is left-handed. Two left- handed…

A: 1)Probablity of choosing one girl and one boy :The number of way to choose girl out of  and  boy…

Q: Suppose that P(A)= 0.6 and P(B)= 0.5. If events A and B are independent, find the probabilities:…

A:

Q: Andrew and Bella either cycle to college or walk. One day the probability that Andrew cycles is 0.7…

A: Given information: P(Andrew cycles walk)=0.70 P(Bella cycles walk)=0.50 The two probabilities are…

Q: The two-way table shows the number of eggs laid by 10 Rhode Island red chickens and 10 leghorn…

A:

Q: Find P(A or B or C) for the given probabilities. P(A) = 0.33, P(B) = 0.24, P(C)= 0.19 P(A and B) =…

A:

Q: The Addition Rule for the probability that events A or B or C will occur, P(A or B or C), is given…

A: Given that P(A)=0.35, P(B) = 0.22, P(C)=0.18 P(A and B) 0.11, P(A and C)=0.03, P(B and C)=0.08 , P(A…

Q: The best free throw shooter in NBA history is Stephen Curry who has made 91% of his free throw…

A: Let  be the number of number of free throws.The probability of making free shot:  The total number…

Q: a) On a sunny day, what is the probability that Mason does not find a spot in Lot A?   (b) In a week…

A: Solution:   spot no spot sunny 0.7 0.3 rainy 0.4 0.6 a) as we can see from contigency…

Q: The manager at the local auto shop has found that the probability that a car brought into the shop…

A: Consider the given information.

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.