46. Rolling Three Dice Three fair, standard six-faced dice of different colors are rolled. Inhow many ways can the dice be rolled such that the sum of the numbers rolled is 10? (Mathematics Teacher calendar problem)

Q: 20. A game consisting of flipping a coin ends when the player gets two heads in a row, two tails in…

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Q: 4. Ordering a pizza with thick crust or thin crust with a choice of ham, bacon, sausage, or…

A: According to the Bartleby guidelines only one question can be solved at one time, post the remaining…

Q: An experiment consists of flipping a coin 4 times and noting heads or tails on each flip. How many…

A: Recall that the total number of outcomes when we toss a coin n time is 2n.

Q: 3. You have a bag of 100 marbles, and it contains 6 different types of marbles. You decide you want…

A:

Q: How many ways are there to roll two distinct 13-sided dice to yield a sum evenly divisible by 5?

A: Given data 13 sided dice Number that is divisible by 5 = 5,10,15,20,25 5 can be obtained in =…

Q: In how many ways can 8 surfboards be selected from 22 different surfboards? ways? _______ ways

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 10. The infamous psychologist, Dr. Visegrips, claims that his secret sleep audio program cause…

A: Given : Person A B C D E Pretest 68 69 74 71 65 Postest 70 68 75 72 68

Q: |: 28. There are five white and eight red balls in a bag. Two draws of three balls (in each draw)…

A:

Q: 11. A bowl contains 10 red balls and 10 blue balls. A woman selects balls at random without looking…

A: Look for worst scenario

Q: 9. A bowl contains 10 blue balls and 10 green balls. A girl selects balls at random without looking…

A:

Q: There are three dice rolled at the same time. b. How many possible outcomes are there if the desired…

A:

Q: Three fair, standard six faced dice of different colors are rolled. In how many ways can the dice be…

A: Given: Three fair, standard six faced dice of different colors are rolled. Number of…

Q: In how many ways can 3 boys and 3 girls be seated at a round table if a.     without restriction b…

A: As per our guidelines we are supposed to answer only one question per post and 3 sub-parts of any…

Q: 23. A teacher decides to pick 3 students to present their projects. She has all the students do a…

A: Answer

Q: 4. A spinner wheel with 3 color choices (red, blue, and yellow) is spun and a 4-sided die is rolled.…

A: Given that spinner wheel has three colours namely red, blue and yellow and also a die has 4 sides. (…

Q: 4) A survey for 500 children is conducted in a town. The results show that approximately 53 % liked…

A:

Q: Two teams are trying to win a game by drawing a winning card. Team A is drawing from a pack of 54…

A: Given two teams are trying to win a game by drawing a winning card. Team A is drawing from a pack of…

Q: 3. There are six men and five women in a room. We are going to choose five people from the room. a)…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 13-13. A bag contains 2 white balls and 3 black balls. Four persons A, B, C and D, in the

A: Given : 2 white and 3 black balls A,B,C,D each draw one ball without replacing First one to draw…

Q: 35 Ponzi schemers are on the government's hit-list. In how many ways can the government name 3 of…

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Q: There are three dice rolled at the same time. b. How many possible outcomes are there if the…

A: Given that, There are three dice rolled at the same time.

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 5, 7 & 9 without repetition?…

A: Given digits are: 0, 1, 2, 3, 5, 7, 9 Total digits = 7

Q: 6. In the Camarillo Air Race eight planes are entered and there are no ties, in how many ways can…

A: We will use the simple layman approach to the problem.

Q: 5. You randomly draw two cards from a well-shuffled standard deck of 52 cards. You replace the first…

A: Pking or club=nking or club52 Now nking or club=nking +n club-nking ∩ club=4+13-1=16

Q: How many ways are there to get a sum of 25 when 10 distinct dice are rolled?

A: Given : 10 distinct dice are rolled We have to finds the number of ways for getting a sum of 25 Now,…

Q: 4) A survey for 500 children is conducted in a town. The results show that approximately 53 % liked…

A: To solve this problem, please lest represent the given data in a Venn diagram representation and…

Q: 9. How many ways can three balls be chosen randomly from a bag of 8 red balls, 3 white balls and 9…

A: Note: " Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Country Gold Silver Bronze Norway 12 1 9 Russia 10 3 USA 9 7 Canada 9 12 Denmark 8 7 Italy 18…

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Q: no restrictions are imposed b. 2 particular statisticians must be on the committee

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Q: A coin is tossed 12 times. a)   How many different outcomes are possible? b)  How many different…

A: Answer:-  A coin is tossed 12 times. There are two possible outcomes either head or tail. a)Number…

Q: 19. In how many ways can you rearrange the letters in the word "COUNT," in order to get every…

A: As it is 5 letters word so make h row of 5 places and make all possible combinations on 5 places…

Q: 8 Maya lists all the possible outcomes of spinning the spinners below one time each. Pink Blue Green…

A: Given: There are 3 spinners. Spinner 1: Pink, Blue Spinner 2 : Green, Purple Spinner 3 : Pink, Blue,…

Q: How many possible outcomes are there if you roll 6 four-sided dice? How many possible outcomes are…

A: Here we have to find total number of possible outcomes when we roll 6 6 four sided die and 2 Six…

Q: 23. A teacher decides to pick 3 students to present their projects. She has all the students do a…

A: Hello. Since you have asked multiple questions, we will solve the first question for you. If you…

Q: 6. A food committee prepared 3 kinds of sandwiches, 5 drinks, 4 fruits, and three candies. How many…

A: Q-6  a food committee prepared 3 sandwiches , 5 drinks, 4 fruit and 3 candies how many kinds of…

Q: 6. We first roll a six-sided die, and then flip a fair coin as many times as the number on the die.…

A: We have to find the expectation using conditional expectation.

Q: 12. [Bonus] In how many ways can 7 people A, B, C, D, E, F and G be seated at a round table so that…

A: Consider the given information as 7 people A, B, C, D, E, F, and G be seated at a round table, so…

Q: 6. Seven students are competing in a geography bee. How many ways can they finish in first, second,…

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Q: 11. A nutritionist is interested in whether excessive sugar intake causes hyperactivity in children.…

A: a. Which design is an observational study and which is a comparative experiment?Answer: Design I is…

Q: A. A pair of dice is rolled. If X is the sum of pairs of numbers. 1. What is the P(x) which is…

A: Given: A pair of dice is rolled. Let X is the sum of pairs of numbers.

Q: 5) You flip a coin and then roll a fair six-sided die. The coin lands tails-up and the die shows an…

A: The probability is the chance of occurrence of all the observation involve an event. The probability…

Q: In an experiment, you flipped one coin and rolled three dice followed by the coin-flipping. An…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: 1. A coin is flipped seven times where each flip comes up either heads or tails. How many possible…

A: Here we will going to use Binomial distribution   If a probability distribution satisfied…

Q: 6. Seven cross country runners will be chosen from the SFSU cross country team of 14 to represent…

A: From the given information. The number of cross country runners are 7. Total number of members in…

Q: Adam, Ahmed and Ali are three children. We have four identical balls to distribute among them. In…

A: Given, No. of children=3 No. of balls=4

Q: 2 playing cards; how many 5-card poker hands containing exactly 3 aces are possible? How many…

A: 52 playing cards; how many 5-card poker hands containing exactly 3 aces are possible?

Q: Y Ou are piaying a game involving a fair 6-sided die and a fair coin. First the die is rolled. If…

A: a. The probability of the number on the die evenly divisible by 3 is: 26=13 The probability of the…

Q: 8. a.To make a non-vegetarian fajita at Lopez's Grill, you must choose between a flour or corn…

A: Combinatorics is based on counting. From a certain number of objects given, the number of selections…

Q: 4. A 50-member club will elect a president and then a vice president from their membership. How many…

A: Given that a club contains 50 members  They are electing a president and then vicepresident find out…

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.