166 Answered Questions for the topic Combinations

Combinations

08/25/15

Your friend has 13 different magazines and 6 different DVDs he is willing to loan you. Compute the following:

If you take 3 magazines and 3 DVDs, how many different possibilities could you end up with?
Combinations Math

08/11/15

How many different combinations of these token values are worth a total of 17 points?

The full question: In a certain game, each token has one of three possible values: 1 point, 5 points, 10 points. How many different combinations of these token values are worth a total of 17... more
Combinations Algebra 2 Probability

05/03/15

A basketball team has 4 guards, 5 forwards, and 3 centers. How many ways can a coach choose a starting line up if he needs 2 guards, 2 forwards, and 1 center?

I am in Algebra II, currently on probability, lesson on combinations. I would love your help! :) Thank you!!

04/20/15

How many different values are possible for the random variable Y?

involving drawing calculators from a box of working and broken calculators. Assume that the box contains 14 calculators: 12 that work and 2 that do not work. A sample of 3 calculators is selected... more

How many different values are possible for the random variable X

Assume that the machine yields the item selected 70 percent of the time, and returns nothing 30 percent of the time. Three individuals attempt to use the machine. Let X be defined as the number of... more

04/20/15

How many different values are possible for the random variable X?

involving the selection of two students from a committee of students. Assume that the committee is made up of 2 males and 5 females. Two are selected at random, and a random variable X is defined... more

04/16/15

The length of the password must be six characters. The first five characters must be alphabetic and the sixth character must be numeric. How many different pas

 The length of the password must be six characters. The first five characters must be alphabetic and the sixth character must be numeric.How many different passwords can be generated? 

04/15/15

(1) What is the probability that she remembers to bring her briefcase every day in one week (5 days)?

about the professor who sometimes forgets to bring her briefcase to the office, but assume that, each day, the probability that she forgets the briefcase is 1/6. Assume that her forgetting is a... more

04/15/15

What is the probability that at least one mouse is female, given that exactly one is gray?

Assume that you have 10 mice in the cage: 4 white males, 3 gray females, and 3 gray males. Two mice are selected simultaneously and at random, and their colors are noted.What is the probability... more

04/15/15

What is the probability that both balls are red given that the first ball you drew was red?

Assume that each bag contains 5 balls. Bag a contains 3 red and 2 white, while bag b contains 1 red, 3 white, and 1 blue. You randomly select one ball from bag a, note the color, and place the ball... more

04/15/15

What is the probability that at least one inspector will find a defective widget?

Assume that the box contains 2 defective widgets and 10 acceptable widgets. There are 4 inspectors, each of whom selects a widget from the box at random, inspects it, and then replaces it in the... more

What is the probability that the student attends at least one class on Monday?

involving a student's attendance at math and accounting classes on Mondays. Assume that the student attends math class with probability 0.65, skips accounting class with probability 0.25, and... more

04/10/15

What is the probability that the Toyota leaves first?

Assume that there are 8 cars: 2 Chevrolets, 5 Fords, and 1 Toyota. Two cars leave at random, one after the other. Draw a tree diagram and use it to answer the following questions.(1) What is the... more

04/10/15

What is the probability of getting exactly 4 correct answers?

about a multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 9 questions are answered by guessing randomly.What is the probability of getting exactly... more
Combinations Probability Decimals Sets

03/29/15

Compute the following conditional probabilities

events E and F in a sample space S, but assume that Pr[E] = 0.3, Pr[F] = 0.35, and Pr[E′∩ F] = 0.15.  Compute the following conditional probabilities: (1) Pr[E | F] = (2) Pr[F | E] =
Combinations Probability Fractions Sets

03/29/15

What is Pr[E | F]?

Suppose for this problem that Pr[E] = [ 5/8] and Pr[F] = [ 3/4]. Just as in the book, Pr[(E ∪F)′] = 0. (1) What is Pr[E | F]? (2) What is Pr[F | E]?

03/29/15

Compute the following conditional probabilities:

A and B in a sample space S, but assume that Pr[A] = 0.4, Pr[B] = 0.35, and Pr[A∩ B] = 0.1.  Compute the following conditional probabilities: (1) Pr[A | B] = (2) Pr[B | A] =

03/27/15

Assume that Pr[A] = 0.4, Pr[B] = 0.7, and Pr[A nB] = 0.3.

events A and B in a sample space S. Assume that Pr[A] = 0.4, Pr[B] = 0.7, and Pr[A ∩B] = 0.3.(1) Pr[B′∩A] = (2) Pr[A′∩B] = (3) Pr[A′∩B′] =

03/27/15

What is the probability that the student attends at least one class on Monday?

involving a student's attendance at math and accounting classes on Mondays. Assume that the student attends math class with probability 0.65, skips accounting class with probability 0.4, and... more

03/27/15

Find the following probabilities

involving events E, F, and G in a sample space S. Assume that Pr[E] = 0.45, Pr[F] = 0.3, Pr[G] = 0.5, Pr[E∩F] = 0.15, Pr[E∩G] = 0.25, Pr[F∩G] = 0.1, and Pr[E∩F ∩G] = 0.05;. Find the following... more

03/27/15

Find the probabilities of the following events

events A and B of a sample space S, but assume that Pr[A′] = 0.4, Pr[B] = 0.55, and Pr[A′∩ B] = 0.2. Find the probabilities of the following events: (1) Pr[A∩B] = (2) Pr[A∪B] = (1) Pr[A′∪B]
Combinations

03/19/15

Different Color Combinations?

So I have 11 colors (blue, purple, pink, green , gray, white, black, brown, orange, yellow, red) and I want to know how many different combinations I could have? For example, some combinations... more
Combinations

03/17/15

Combinations

My teacher gave us six essay prompts to prepare for an upcoming exam. However, the exam will only have four of the original six listed and from those four we must choose one to write an essay... more

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