An urn contains 4 marbles with the following colors: Red, White, Blue, and Green. You cannot see into the urn and all the marbles have the same feel, so the selections are random. 1.If three marbles are picked out one at a time (without replacement), how many different permutations can there be? 2.If three marbles are picked out one at a time (without replacement), how many different combinations can there be? 3.If only one marble is picked, what is the probability that is it not Red?

Q: 2. A box contains 6 green, are selected at random from the box. a. How many ways can the four balls…

A: given data  6 green 5 yellow 4 blue 3 orange _______________ 18 total balls

Q: The table to the right categorizes 25 senators as to political party and gender. One member is…

A: .

Q: How many permutations of three items can be selected from a group of six? Use the letters A, B, C,…

A: There are total three item have to select from a group of six

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: The pouch contains 4 dimes, 2 nickels and one quarter. Two coins are randomly drawn from a pouch.

Q: Suppose an urn contains red, green, blue, and black marbles. Suppose you draw marbles from the urn 5…

A: If an event with n different possibilities are repeated r number of times, then the number of…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: Two coins are randomly drawn out from  a coin pouch . In a pouch we have given that there are 4…

Q: Four donuts and three muffins. A guest takes an item at random from the platter but does not replace…

A: A tree diagram is used to represent a probability space. Each node of the tree on the diagram…

Q: How many possible combinations are there if there are 6 players and each player can either have 2…

A: We have given, Total number of players are n=6. And each player have 2 possible outcomes i.e. r=2.

Q: What if you have a six sided die and a spinner with five spaces.  How many possible outcomes are…

A: We have a six sided die and spinner with five spaces

Q: A test consists of 14 questions that are divided into three sections. There are 6 questions in the…

A: A test consist  14  questions  Test is divided into three sections First section have 6 question…

Q: An Olympic final consists of two runners from each of four different countries. An ordered selection…

A: Given Total number of countries in an Olympic final =4 Total number of runners from each country =2…

Q: There are 7 seniors on the high school soccer team. Two of them will be chosen to be co-captains.…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: Suppose that a class of 20 students is assigned to write an essay.       Suppose 3 essays are…

A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:

Q: As the project manager of a project, you are in charge of a team of seven people which includes…

A:

Q: A store purchases baseball hats from three different manufacturers. In manufacturer  A’s box, there…

A: Probability of an event obtained by dividing the number of favorable outcomes with the total number…

Q: In a box there are: 11 red books, 7 white books and 4 blue books. Five books are randomly selected.…

A: From the above data  We are given that  11 red books, 7 white books and 4 blue book

Q: You are dealt five cards from a standard deck of 52 cards. How many of these hands have at least one…

A:

Q: In a class consists of 18 students. An urn contains 1 blue and 17 red balls. Without replacement,…

A: Given: There are 18 students in the class and each students randomly pick up a ball from an urn…

Q: Suppose we want to choose 2 colors without replacement, from the 4 colors red,blue,green, and…

A: a.Find the number of ways in which 2 colours can be chosen among the 4 colours without giving…

Q: The table to the right categorizes 20 senators as to political party and gender. One member is…

A: MenWomenTotalDemocrat246Republican8614Total101020find n(women or Republican man) = ?

Q: A card game uses a special deck where each card has a number and a color. The numbers range from 1…

A: There are numbers range from 1 to 12. So total of 12 numbers. The colors are red, orange, yellow,…

Q: How many five-card hands have exactly two Queens?

A: The total cards in a deck = 52 Total queens = 4 There will be two of the four queens, and three…

Q: A die is rolled six times and the order of the rolls is considered. In how many ways can three 2's,…

A: Given : A die is rolled six times and order is considered

Q: Find the permutation. From 1650 raffle entries, five entries will be chosen for first, second,…

A:

Q: How many different 5 card hands have three of a kind (3 cards if one kind, 1 card of a second kind,…

A: Introduction: The total number of ways in which a 5-card hand can be dealt from the standard 52-card…

Q: A bag contains three red marbles, one green one, one lavender one, three yellows, and three orange…

A: The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: How many different 7​-card hands can be selected from an ordinary​ deck

A: 52C7=133,784,560

Q: At a birthday party 47 guests are in attendance and 6 of them are randomly chosen to each receive a…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.