153 Answered Questions for the topic Combinations

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

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

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 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
Combinations

03/13/15

Please Help!! Coin toss

If you toss a coin 10 times and list the results (heads or tails) in order, how many different orders are possible?

How many of these are less than 5000?

In this version, you are to form a 4-digit number from the digits 1, 2, 3, 4, 7, 8, and 9, using each at most once.   How many of these are less than 5000?

03/07/15

What is the value of w2?

For this problem, assume that 2, 6, 5, and 4 are equally likely, a 1 is three times as likely as a 4, and a 3 is four times as likely as a 1. (1) What is the value of w2? (2) What is the value of... more

03/05/15

What is the probability they sum to 9, 3, or 6?

involving the sum of two die rolls.(1) What is the probability they sum to 9, 3, or 6? (2) What is the probability they sum to at least 7?

03/05/15

In how many ways can the assignments be made if John writes the introduction?

Assume that 12 students, including John, are working on the project report, which contains an introduction, 4 chapters, and a conclusion for a total of 6 sections.(1) In how many ways can the... more

Finite Homework, need help: permutations, combinations, probability.

1. For this problem, assume the cooler contains 32 cans, 22 of which are regular, and the rest of which are diet. What is the probability of selecting 5 cans from the cooler so that at least 4 are... more

How many different teams can be selected?

Assume that there are 9 girls and 8 boys in the neighborhood club, and a team of 5 is to be selected.(1) How many different teams can be selected? (2) How many different teams can be selected if... more

In how many possible ways can the selection be made so that the value of the coins is at least 25 cents?

you are selecting three (3) coins, but assume that there are 5 dimes, 3 nickels, and 2 quarters. In how many possible ways can the selection be made so that the value of the coins is at least 25... more

02/19/15

In how many different ways can the 3 CD's be selected?

student who wants to buy 3 CDs, but assume that there are 3 CDs featuring the piano, 4 CDs featuring the trumpet, and 5 CDs featuring the saxophone.   (1) In how many different ways can the 3... more

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