If the selected chip is white, what is the probability that the other chip in the bowl is red?

Q: Three percent of the students at Lincoln High are in orchestra, 5% are in band, and 1% are in both.…

A: It is given that P( orchestra ) = 3% = 0.03P( band ) = 5% = 0.05P( orchestra and band ) = 1% = 0.01

Q: In a group of students, 70% are taking an English class and 19% are taking a Chemistry class. Among…

A: Given that, P(E)= 70% = 0.70 P(C)= 19%= 0.19 P(C/E)= 7%= 0.07 P(C Ω E)=?

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: 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 card is chosen at random from a standard deck. What is the probability that the card is a heart or…

A: Given- There are 52 cards in a deck              Among 52 cards, there are 26 red cards and 26 black…

Q: Out of a class of 30 students, there are 16 students who study Latin, 21 who study German, and 7 who…

A: Given,no.of students who study Latin(L)=16no.of students who study German(G)=21no.of students who…

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: A set of coins is flipped. 25% of the coin set has a 20% chance of landing on heads. The other 75%…

A: Given that the set of coins are divided into two types.

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A:

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: If the probability of choosing a red chip from a bucket is 0.4, What is the probability of not…

A: We have the probability of choosing a red chip from a bucket is 0.4

Q: In a large town, previous records indicate that 40% of all high school graduates go to college. 30…

A: From the given information, n=30 and p=0.40.

Q: What is the probability that a randomly selected student from a university with 60% female and 40%…

A:

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A: Let X represent random variable   n=5 p=0.08   X~ binomial (5, 0.08)

Q: Suppose that 70% of a town’s population have brown eyes, 40% have black hair, and 30% have both…

A: We have given  that population have brown eyes = 70% =0.70 population have black hair = 40% = 0.40…

Q: The probability that a can of paint contains contamination is 3.23% and the probability of a mixing…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:

Q: If you select one card at random from a standard deck of 52 cards, what is the probability that the…

A:

Q: If 3 people are randomly selected from all the people in the four cities, what is the probability…

A: From the bar chart, it is clear that 42.767 (in thousands) are from Edmonds and 56.752 (in…

Q: Your favorite board game used a spinner with three equally possible outcomes: red, yellow, or blue.…

A: There are three colors which are equally possible. So, the probability of getting red = 13the…

Q: At a car manufacturing plant, 10% of cars have some sort of defect when they come off the line. If…

A:

Q: If 15% of students like tennis and I expect 500 new students on campus what is the probability that…

A: Probability that students like tennis, p=15% = 0.15 q=1-p= 1-0.15= 0.85 Sample size n=500…

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: Suppose that 37% of people own dogs. If you pick two people at random, what is the probability that…

A: From the given information, it is clear that   The probability that people owns the dog=0.37.…

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: It has been estimated that 21% of Americans are smokers. If four American adults are chosen at…

A: Given that, proportion, p= 21%  p= 0.21 So q= 1-p= 1-0.21 = 0.79 And sample size is n= 4 So X~…

Q: Billy selects some cards from a standard 52 card deck.  What is the probability that he selects 1…

A: Given data: The total numbers of cards in the playing deck are n=52. The numbers of hearts are h=13.…

Q: In the experiment of rolling two dice, what is the probability that the difference between the…

A:

Q: If a seed is planted, it has a 75% chance of growing into a healthy plant. If 8 seeds are planted,…

A:

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: In a group of 10 people chosen randomly, what is the probability that three of the ten people have a…

A: Given: Number of trials (n) = 10 Probability of success (p) = 11000000=0.000001 Let X be the number…

Q: You choose a letter at random from the alphabet. What is the probability that it will be the letter…

A: Given : we have given letter n, g, l, a, s  No. of letters = 5 No. of  alphabet = 26 One letter is…

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) = ?

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: There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies,…

A: given data   jar contains : 9 - pennies    1 cent 12 - nickles  - 5 cent 10 - dimes  - 10 cent 5 -…

Q: From a group of 10 choldren, a team of 5 (the red team) is randomly chosen. The remaining 5 children…

A: Given from a group of 10 children, a team of 5 children is randomly chosen. The remaining 5 children…

Q: Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students…

A: P(high school students of eating pizza), P(A) = 0.333 P(high school students of drink soda), P(B) =…

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.