What is the probability of selecting a white chip from the bag? What is the probability of selecting a red chip from the bag? Are the outcomes of selecting a white chip and selecting a red chip equally likely? Two chips are selected from the bag with replacement.  Is the probability of selecting two white chips greater than, equal to, or less than the probability of selecting two red chips?  Explain your answer.

Q: At an inspection line, several motors are inspected. It is known that defects between motors are not…

A: Solution-: Given : λ=5 We find, (a) P[the first defective motor is the fifth motor that you…

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: If the probability of having a female tortoise is 0.35, what is the probability of having four…

A: Given that,  The probability of having a female tortoise is, p = 0.35 The no.of eggs in a nest is, n…

Q: In a sample of 1000 U.S adults, 199 think that most celebrities are good role models. Two U.S adults…

A:

Q: In a sample of 1000 US adults 106 think that most celebrities are great role models.  Two US adults…

A: Given that, in a sample of 1000 US adults, 106 think that most celebrities are great role models. We…

Q: Mr. Razo has a hat with 10 slips of paper. There are 5 blue slips, 2 red slips, and 3 black slips.…

A: Mr. Razo has a hat with 10 slips of paper. There are 5 blue slips, 2 red slips, and 3 black slips.

Q: According to a survey of American households, the probability that the residents own 2 cars if…

A: According to the provided data,

Q: Suppose the composition of the Senate is 47 Republicans, 49 Democrats, and 4 Independents. A new…

A:

Q: Suppose 20% of the students in UCR commute to school every day. Among those who commute, 40% of them…

A: The objective of this question is to find the probability that a randomly selected student from UCR…

Q: Suppose 2% of cotton fabric rolls and 3% of nylon fabric rolls contain flaws. Of the rolls used by a…

A: From the given information Let C be the event that selected roll is cotton fabric and Let N the…

Q: Alejandra buys a bag of cookies that contains 6 chocolate chip cookies, 4 peanut butter cookies, 4…

A: Solution: From the given information, a bag of cookies that contains 6 chocolate chip cookies, 4…

Q: about 38% of the population have blood type-O positive. If you randomly choose 4 people, what is the…

A: It is given that p = 0.38 and n = 4. The probability mass function of the binomial distribution is…

Q: A survey of 100 people in New York City., NY found that, The probability that they take the subway…

A:

Q: A jar has 6 orange marbles and 10 red marbles. What is the probability of drawing two orange marbles…

A: We have given that  A jar has 6 orange marbles and 10 red marbles. Total number of marbles = 16

Q: The first box contains 3 black and 6 white cards. The second box contains 4 black and 3 white cards.…

A: It is given that there are 3 black and 6 white cards in box 1 and 4 black and 3 white cards in box…

Q: A farmer is going to randomly select an animal from their farm. There are 5 cows, 3 goats, and 12…

A: There are 5 cows, 3 goats and 12 chickens. N=20 animals

Q: Rehnuma has a set of three special coins. For the first, second and third coin, probability of…

A: Numbers of coin Rehnuma have is 3. Probability of getting head on first coin is 40%. Probability of…

Q: In a survey, 205 people indicated they prefer cats, 160 indicated they prefer dogs, and 40 indicated…

A: From the provided information, 205 people indicated they prefer cats, 160 indicated they prefer…

Q: Out of 176 students surveyed at a sporting event, half were males and athletes. 120 students…

A:

Q: If 42% of students own a car and 27% of students own a bike. What is the probability that a student…

A: Given Data: The probability that student own a car is: P(A)=42% The probability that student own a…

Q: A class consists of 10 male and 30 female students. Of the 30 females, only 5 did not have pet. Six…

A: The probability of an event E  is defined as the ratio of favourable number of outcomes to the total…

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: In a second grade class containing 14 girls and 11 boys, 2 students are selected at random to give…

A:

Q: I have 1 grey female, 5 grey male, 2 white female, and 2 white male mice. A biologist chooses 2…

A: From the given information, there are 1 grey female, 5 grey male, 2 white female and 2 white male…

Q: I pick the 5 of hearts from a deck of cards.  If the 5 of hearts is not returned to the deck, what…

A: There are four 5s and 13 hearts in a deck of cards After drawing the 5 of hearts there will be…

Q: Chris buys a bag of cookies that contains 9 chocolate chip cookies, 5 peanut butter cookies, 7 sugar…

A: There are total (9+5+7+8)=29 cookies in the bag.  Since she is eating the first cookie so this event…

Q: A couple plans to have four children. The father notes that the sample space for the number of girls…

A: Given information- We have given that, a couple plans for 4 children. The sample space for the…

Q: Pat randomly chooses marbles from an urn with replacement. The urn originally contained 55 red​…

A:

Q: Paul has 6 black pens, 3 red pens, and 14 pencils in his desk drawer if he reaches into his desk…

A: 6 black pens3 red pens14 pencils __________23 total itemsselect one at random. P(grab a pen) = ?

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.