Three fair six-sided dice are rolled. An outcome is an ordered sequence of 3 numbers between 1 and 6. For example, sequence 1-2-3 is different from sequence 2-3-1. a. How many outcomes are possible? b. What is the probability that a roll results in the sum of the three dice equaling 18?

Three fair six-sided dice are rolled. An outcome is an ordered sequence of 3 numbers between 1 and 6. For example, sequence 1-2-3 is different from sequence 2-3-1. a. How many outcomes are possible? b. What is the probability that a roll results in the sum of the three dice equaling 18?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: A number is selected from the numbers 1,2,3,4.......25.The probability for it to be divisible by 4…

Q: 4. A bag has 9 coins in total. There are three coins that have "heads" on both sides; four coins…

A: The bag has total 9 coins.

Q: Use the tree diagram below to predict the probability of flipping 3 coins and getting all heads or…

A: On flipping a coin, probability of getting either a head or a tail = 12 So, Probability of getting…

Q: In an experiment, a fair six-sided number cube, numbered 1 through 6, was rolled 2 times to…

A: In the 10 trials given above only on Trial 7 the first roll is 4 which is an even number and the…

Q: c. What is the probability that all tosses are heads? d. What is the probability that exactly two…

Q: Suppose you play a coin toss game in which you win $1 if a head appears and lose $1 if a tail…

A: Given: It is given that heads come up 37 times and tails come up 63 times in the first 100 coin…

Q: . 3 A bouquet of 6 flowers is made up by randomly choosing between roses and carnations. What is the…

Q: A. Find the probability by referring to the tree diagram on the right. M· 0.4 0.1 P(NNB)%3D…

A: it is given that P(N∩B)=P(N)P(B/N) from the tree diagram substitute the values

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: 8. A fair coin and a six-sided die are tossed simultaneously. What is the probability of obtain- ing…

A: Let us denote H=head, T=tail The possible outcomes are: H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5,…

Q: 1. Samples of 3 cards are drawn without replacement from a population of five cards numbered from 4…

A: There are 5 cards numbered from 4 to 8. 3 cards are selected at random without replacement. So, the…

Q: Five fair dice are rolled. 2. find the probability that the first two show odd numbers ,the next two…

A: Number of times a dice is rolled = 5 First dice show odd number(1,3,5). Its probability is 36 = 12…

Q: out of every 5 free throws. What is the probability, as a decimal, that Brian will make the next two…

A: Events are independent because the result of one throw does not affect the result of other throws

Q: a. How many positive three-digit integers are multiples of 6? b. What is the probability that a…

A: (a) The first 3 digit multiple of 6 is 102 and the last 3-digit multiple is 996. So, the three digit…

Q: the same number for both cubes. b. a sum of 5 c. a 4 and a 6

A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

Q: 1. A Fair die is tossed three times. Construct a table of possible outcome then find the probability…

Q: A fair die is rolled twice. What is the probability that: a. The die shows a different number on…

A: (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2)…

Q: When rolling a pair of dice, what is the probability of getting a sum less than 13.

Q: 1. The two dice are rolled. Find the probability of the following events a) the sum of the dropped…

A: Probability is the chance of occurrence of an event.

Q: H.W3: A fair dice is thrown; find the amount of information gained if you are told that no. 4 will…

A: Given problem Given that A fair dice is thrown. We have to find the amount of information…

Q: A box contains 8 red balls, 3 blue balls and 4 white balls. A ball is drawn at random, then placed…

Q: A local county has an unemployment rate of 7%. A random sample of 16 employable people are picked at…

A: the sample size n=16the probability of unemployment in the county p=0.07the probability of…

Q: 8. There are one hundred tickets in a box, numbered from 1 to 100. Draw twice, with replacement.

Q: Pick 3 numbers (without repetition) randomly from 1, 2, 3, 4, 5, 6, 7, 8, and 9. What is the…

A: Given problem Given that Pick 3 numbers without repetition randomly from 1,2,3,4,5,6,7,8 and 9.…

Q: Six dice are thrown 500 times. How many times do you expect at least three dice to show a 2 or 3?

A: Six dice are thrown 500 times. We have to find the number of times we expect at least three dice to…

Q: Explain how the complement can be used to find the probability of getting at least one item of a…

Q: Suppose you are invited to play a game in which you bet $1 on any number from 000 to 899. If your…

A: There are total numbers from 000 to 899=900 And also given, bet amount when any above number…

Q: Find the probability of matching three of the four winning numbers. (ROUND YOUR ANSWER TO 8 DECIMAL…

Q: Two unfair dice are thrown where odds are twice as likely to occur as evens. A. Find the probability…

A: here given , Two unfair dice are thrown where odds are twice as likely to occur as evens. so here…

Q: Suppose you are invited to play a game in which you bet $1 on any number from 000 to 599. If your…

A: Number from 000 and 599 If your number comes up you get $300 We have to find Expected wining

Q: A. Suppose four coins are tossed, show all the outcomes and find the probability of getting: 1. two…

A: As per company guidelines I solved only First questions .thank you

Q: A group consists of five men and seven women. Four people are selected to attend a conference. a. In…

A: It is given that, a group consists of five men and seven women. (a) In how many ways can four people…

Question

Three fair six-sided dice are rolled. An outcome is an ordered sequence of 3
numbers between 1 and 6. For example, sequence 1-2-3 is different from sequence 2-3-1.
a. How many outcomes are possible?
b. What is the probability that a roll results in the sum of the three dice
equaling 18?

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Multivariate Distributions and Functions of Random Variables$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Assume you are rolling two dice; the first one is red, and the second is green. Use a systematic listing to determine the number of ways you can roll a total less than 6 on the two dice.
B. If two dice are rolled one time, find the probability of getting these results. 1. A sum of 6 2. A sum of 7 or 11 3. A sum of greater than 9 4. A sum of 7 or 11 5. A sum less than or equal to 4
Determine the probability of the following. Write your answer on the space provided. (20 Points) 1. If one card is shown from an ordinary deck of cards, find the probability of getting the following. a. A king or a queen c. A club or a heart or a spade d. An Ace or a diamond b. A king or a queen or a diamond
Seven husbands (h1 to h7) are separated from their 7 wives( w1 to w7) and are then paired randomly. a. What is the probability that at least one husband is matched to his wife? b. Determine also the probability that no husband is matched to his wife. Solve giving detaiiled explanations
Suppose you play a game of rolling a 12-face die. You win if you roll a “3” or “6” or “9”. Otherwise, you lose. a. What is the probability of winning a game? Your answer is 1/4 . Write your answer in decimal number. b. What is the probability of losing a game? Your answer is Write your answer in decimal number. c. Suppose you pay $10 to play the game. You get $10 if you win. Otherwise, you lose the $10. What is your expected value of betting on “3”, “6”, “9”. Hint: 10 x (probability of winning) + (–10) x (probability of losing). Your answer is Write your answer in decimal number. d. What is your expected value of betting on “3”, “6”, “9” for 50 times. Your answer is
Answer no. 5. Probability.Give the number of possible outcomes.
Keno is a casino game in which the player has a card with the numbers 1 through 80 on it. The player selects a set of k numbers from the card, where k can range from one to ifteen. The “caller” announces twenty winning numbers, chosen at random from the eighty. The amount won depends on how many of the called numbers match those the player chose. Suppose the player picks ten numbers. What is the probability that among those ten are six winning numbers?
You randomly select an integer from 0 to 9 (inclusively) and then randomly select an integer from 0 to 19 (inclusively). What is the probability of selecting a 7 both times? The probability is enter your response here. (Type an integer or a decimal. Do not round.)
A die is rolled twice. What is the probability that a(n) 1 is rolled on the first roll and an even number on the second roll?The probability of rolling a(n) 1 on the first roll and an even number on the second roll is . (blank) <- answer