An urn contains 8 balls numbered 1 through 8. If we select 3 balls without replacement and the order does not matter, how many samples are possible

Q: If two coins are flipped and then a die is rolled, the sample space would have how many different…

A:

Q: Suppose that a fair spinner A has 4 equal sections labelled 1,2,3,4 and a fair spinner B has 10…

A: Probability Probability is a computational method for measuring the likelihood of an action…

Q: In tossing a coin, how many ways are there of tossing 4 heads out of 7 tosses?

A: The number of tosses is 7.

Q: A regular six-sided die is tossed twice. On a piece of paper, write out all the possible outcomes.

A:

Q: How many permutations can be made from the word PILIPINAS?

A: The given word is PILIPINAS.

Q: An urn contains seven ​red, five ​white, and six blue marbles. How many ways can three marbles be…

A: Given that the urn contains seven red, five white, and six blue marbles.

Q: Suppose there are ten balls in an urn, four pink, four yellow, one blue, and one green. The balls…

A: Given information: 4 pink, 4 yellow,1 blue and one green balls Total number of balls=10

Q: If two coins are flipped and then a die is rolled, the sample space would have different outcomes.…

A: To count the total number of outcomes (events) in the sample space of the given experiment

Q: what is the probablity of rolling one six-sided die and obtaining a 5 or a 6

A: To calculate the probability that either 5 or 6 turns up when a 6 sided die is rolled

Q: How many ways are there to place 13 identical red balls into 7 numbered bins?

A: Given Data: The total number of red balls is: n=13 The total number of bins is: r=7 The number of…

Q: An urn contains 90 balls. It is known that 30 are red and that each of the other 60 are either…

A: Given:-   total balls=90 red balls (R)=30 yellow or black balls(Y∪B)=60

Q: An urn contains five balls, two of which are marked $1, two $5, and one $15. A game is played by…

A: First we calculate the probability of winning each amount   P($1) = 2/5  P($5) = 2/5P($10) = 1/5

Q: at a school assembly,4 out of the first 10 students were wearing spirit wear. Based on this…

A: Total number of student at school assembly = 500

Q: what are the odds against the paper for having the letter M written on it State your answer as a…

A: HERE from given information  All 11 letters from the word Mississippi are written on individual…

Q: A random sample of 20 of the 200 students at Garland Elementary is asked how many siblings each has.…

A: Solution Given A random sample of 20 of the 200 student at Garland elementary is askedhow many…

Q: As shown above, a classic deck of cards Is made up of 52 cards. If you select a card at random, what…

A: a) In a standard deck of 52 cards, there is only one card which is 10 of diamonds. The probability…

Q: An urn contains 12 numbered balls, of which 6 are black, and 6 are white.  A sample of 6 balls is…

A: Number of ways of selecting a sample of 6 balls from 12 balls is given by: 126 = 12!6! x (12-6)!…

Q: If you put 10 balls randomly into 12 boxes is it guaranteed no box will contain more than one ball?…

A: The number of ways 10 balls can be put into 12 boxes = 12×12×⋯×12 = 1210 Now, the number of ways no…

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: One household is to be selected at random from a town.

A: One household is to be selected at random from a town.   The probability that the household has a…

Q: For a science fair project, Barbara is trying to estimate the population of armadillidiidae bugs…

A: Given, Barbara traps 180 roly polies, marks them, and release them.  She then replaces the traps and…

Q: Balls are numbered 1 through 10 (including 1 and 10) in an urn. 3 are drawn simultaneously and at…

A:

Q: An urn contains 4 marbles with the following colors: Red, White, Blue, and Green. You cannot see…

A: Formula: Permutation: Prn =n!(n-r)! ________________________________ Combination: Crn =n!r!(n-r)!

Q: To generate a Par(4) random number, u=0.6 is generated first. This will be mapped to what Par(4)…

A: R code for pareto number generation

Q: If we have a population of 9 objects, in how many ways may we select a sample of 5 objects from the…

A: The population size is N = 9 Sample size is n = 5

Q: An urn contains nine red, two white, and five blue marbles. how many ways can three marbles be…

A:

Q: In how many ways can 16 balls be drawn from an urn containing 3 red balls, 8 white balls, and 5 blue…

A: We have given that,  Red balls = 3  White balls= 8  Blue  balls= 5 Then,  We wil find the how many…

Q: A 10-sided die will be rolled three times.   Find P( first roll > 6   OR   second roll > 6   OR…

A:

Q: Two cards are drawn at random without replacement from an ordinary deck of 52 cards. Let X be the…

A: Given: X = number of hearts Y = number of red cards n (total) = 52 n (hearts) = 13 n (red) = 26…

Q: List the different combinations of heads and tails that can occur when a penny and a nickel are…

A: Here, a penny and a nickel are tossed together. And the possible outcomes for both the coins could…

Q: According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of…

A: According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of…

Q: The number of permutations of 4 items selected from 8 is 236. Select one: O True O False Give your…

A: we have to find given statement is true or false. select 4 items from 8 available items.  we have to…

Q: A spinner is divided into five equal sectors labeled 1 through 5. What is the probability of getting…

A: GivenA spinner is divided in five equal parts labeled 1 -5No. of spins(n)=5Probability of getting…

Q: Question: How many different groups of seven balls can be drawn from a barrel containing balls…

A:

Q: Suppose a balanced six-sided die is rolled. How m

A: Suppose a balanced six-sided die is rolled. Possible outcomes is {1, 2, 3, 4, 5, 6}. P(getting…

Q: An urn contains 90 balls. It is known that 30 are red and that each of the other 60 is either yellow…

A: We know the number of red balls is 30.  And other balls (black+yellow) are 60. We know the exact…

Q: A class has 11 students. What is the probality that exactly 4 of the students were born on a weekday…

A: We have to find given probability.

Q: How many possible outcomes are there if I toss an eight sided die three times?

A: See solution below

Q: You are a professor of journalism and have 14 students in your class. How many ways can you line up…

A: Given,total no.of students=14

Q: A 9-sided die, with faces numbered 1 through 9, is rolled one time, and the number facing up is…

A: A 9 sided die is being rolled , if the top turns to be less than or equal to 4,then a coin is being…

Q: A person rolls a standard six-sided die, where the roll could be any number in the set (1, 2, 3, 4,…

A:

Q: If arrangements of the letters in the word COMPUTER are generated at random, how many different…

A: The letter C is fixed as the starting letter. The remaining number of letters = 7

Q: 6 out of 20 people in a business have a language certificate. Accordingly, how many of 10 randomly…

A: The probability of people who have a language certificate is given by p = 6/20 = 0.03 n = 10

Q: An urn contains 5 red balls, 4 green balls, and 1 white ball. Three are drawn simultaneously. Answer…

A: As per the questionNo of red balls = 5No of green balls = 4No of white balls = 1

Q: A bin contains marbles numbered 1 through 9 A marble is randomly selected from the bin and returned…

A: Given that  A bin contains marbles numbered 1 through 9 . A marble is randomly selected from the bin…

Q: from the Table of Random Digits is shown below. Use the random digits to generate 5 random numbers…

A: Given: A line of random number table.

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.