Assume that the car lot contains 35 percent Jaguars, 30 percent Corvettes, and 35 percent Lincolns. Of the Jaguars, 80 percent have navigation systems, 10 percent of the Corvettes have navigation systems, and 50 percent of the Lincolns have navigation systems. You are assigned a car at random. If the car has a navigation system, what is the probability that it is not a Jaguar?

Q: a social gathering, there are 21 men, 25 women, 10 boys and 12 girls. If you randomly choose

A: Probability = Number of favourable outcome/ Total number of outcomes

Q: A box contains 12 chocolates: 5 dark chocolates, 4 milk chocolates, and 3 white chocolates. If two…

A:

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: You have three jars of gumballs. The first jar has 80 white gumballs and 20 green, the second jar…

A: Ist jar =80 white+20 green Second jar: 80 white+170 blue Third jar: 500 white+20 red

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: A zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

Q: John has four bottles: cola, root beer, ginger, orange drinks. He chooses three of these for a…

A: Let, C=cola R=root beet O=orange    Sample set={CR, RC, CO, OC, RO, OR}  n(S)=6

Q: In an assembly of 200 people there approximately 2% of them are civil engineers. If we randomly…

A: Givenn=200p=0.02x=no.of people being civil engineersx~Binomial(n=200,p=0.02)P(X=x)=Cxn px (1-p)n-x…

Q: The mathematics faculty at a certain college consists of 10 full professors, 6 associate professors,…

A: From the given information, thee are  10 full professors 6 associate professors 12 assistant…

Q: Plantations Foods has 843 employees. A total of 255 employees have a college degree and 588 do not…

A: It is given that the total employees are 843. The number of employees have college degree is 255 and…

Q: A couple has three children. Assuming each child has an equal chance of being a boy or a girl, what…

A: From the provided information, A couple has three children that is n = 3 Probability of being a girl…

Q: the school are female. Of ride. Of the males, 54% Brentwood student at udents gets a ride to

A: E1: Male   P(E1) = 0.48 E2: Female  P(E2) = 0.52 A: Walk to School P(A|E1) = 0.54 P(A|E2) = 0.4

Q: Find the probability that a randomly selected voter voted for Bob Jones.

A: For a recent local election, 55% of the voters were Democrats. Of the Democrats, 80% voted for John…

Q: A small bag of skittles has 8 red, 9 blue, and 3 green candies. A box of chocolates has 4 cherry, 10…

A:

Q: Your basketball team has two coaches, Coach Mike and Coach Brian.  Coach Mike decides the lineup for…

A: We have to answer question on tree diagram.

Q: A jar contains 20 berries, 14 sweet and 6 sour. If you pick a berry at random, what is the…

A: Given that, A jar contains 20 berries 14 sweet and 6 sour.

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: Alice has 8 pennies, 4 nickels, 2 dimes, and 6 quarters in her pocket. If one coin is drawn…

A:

Q: To celebrate their grand opening in Bowling Green, Trader Joes is allowing the first 50 customers to…

A:

Q: In a small town there are three competing lawn service companies, A, B, and C. Each has a certain…

A: Given, In a small town there are three competing lawn service companies, A, B, and C. Each has a…

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

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: Suppose that 47% of people own dogs. If you pick two people at random, what is the probability that…

A: We have given that Probability (p) = 0.35number of sample (n) = 2 Here we will use binomial…

Q: Suppose that 53% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: Your basketball team has two coaches, Coach Mike and Coach Brian.  Coach Mike decides the lineup for…

A:

Q: A bag of jellybeans has 7 red, 12 black, and 14 blue. We select a jellybean, eat it (do not replace…

A:

Q: Five grade 10 students, six grade 11 students and four grade 12 have signed up for a trip. Only four…

A:

Q: The time between arrivals of oil tankers at a loading dock at Prudhoe Bay is given by the following…

A: Given, Time to fill and prepare (days) Probability Cumulative probability 3 0.10 0.10 4 0.20…

Q: The athletic department of a school has 16 full time coaches, and 4 of them are female. The director…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: An ice chest contains six cans of apple juice, eight cans of grape juice, four cans of orange juice,…

A: The objective of this question is to find the probability of a specific sequence of events…

Q: In Bayside County, 45% of voters are registered Democrats. If three voters are selected at random,…

A: Given, P = 0.45 n = 3 x = 3 Here we use binomial distribution

Q: find the probability that only three have traveled to Italy.

A: Let p be the probability that a tourist have traveled to Italy. Given that p = 0.55 Let X denotes…

Q: class consists of 50 women and 21 men. If a student is randomly selected, what is the probability…

A: According to the given information in this question, we need to find the following probability

Q: A cooler contains 100 ice cream bars. There are 30 Vanilla​ bars, 20 Mint Chocolate Chip​ bars,10…

A: Given :- Number of ice cream bars a cooler contains = 100. Number of vanilla bars = 30 Number of…

Q: On a university campus, 60%, 30%, and 10% of the computers use Windows, Apple, and Linux operating…

A: The objective of this question is to find the probability that a computer on the university campus…

Q: A biology quiz consists of 10 multiple-choice questions. 6 must be answered correctly to receive a…

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.