1. Suppose you roll three fair dicenumber on the red die, lies strictly between the other two numbers? For this problem, your solutionshould be short and intuitive, with a final answer that is a single number (e.g., a fraction) rather thananything in summation form or similar.one red, one blue, and one green. What's the probability that the

If 3 dice are thrown then total possible outcomes in the sample space,n(S) = 63 = 216 Now, if the…

Answered: Suppose you roll three fair dice one…

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...

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Similar questions

You play a game with two-six sided dice. If you roll a sum of 4 or 7, you win P400 If you roll a sum of 10, you win P200. However, you lose P300 for anything else. If you continue to play the game, how much do you expect to win or lose in the game?
A pair of fair dice is rolled onoe, Suppose that you lose $7 if the dice sum to 5 and win $8 if the dice sum to 11 or 12. How much should you win or lose if any other number tums up in order for the game to be fair? To keep the game fair, you should (Do not round until the final answer. Then round to the nearest cent as needed.) if the dice sum to any other number
It asks for number of even outcomes. Is it: a. 3 b. 3/6 or 1/2
A friend proposes a gamble to you. You roll 2 fair, six-sided dice, and add up the results of each die to find your total number. If your roll totals a 6 or 8, your friend pays you $30. If you roll any other total, you pay your friend $10. What is your expected payoff from playing this game 100 times?.
a pair of dice is rolled once. Suppose that you lose 9$ if the dice sum to 5 and win 10$ if the dice sum to 11 or 8. How much should you win or lose if any other number turns up in order for the game to be fair?
Suppose that you repeatedly roll a pair of fair dice and keep track of the sum. What is the probability that you see a sum of 7 before you see an even sum 3 times? (In particular, you keep track of how many evens you roll, and you want the probability that you roll a 7 before you get to 3 evens.
At bedtime, you read three books to your kids, Walker, Michael, and Luke. Together, they have 32 books. If you decide to randomly choose three books, what is the probability that the three you choose will consist of each of their favorite books? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Suppose 10% of all redeemed coupons at a supermarket are for 50% off the item purchased. A simulation is used to model a coupon randomly selected and then recorded as 50% off or not 50% off. Which simulation best models the scenario? Place 40 equally sized pieces of paper in a hat. Of the 40, 4 read "50% off" and the rest read "not 50% off ". O Place 30 equally sized pieces of paper in a hat. Of the 30, 6 read "50% off" and the rest read "not 50% off ". O Place 80 equally sized pieces of paper in a hat. Of the 80, 10 read "50% off" and the rest read "not 50% off ". O Place 50 equally sized pieces of paper in a hat. Of the 50, 10 read "50% off" and the rest read "not 50% off ".
Two diced are tossed 216 times. How many times would you expect to get a sum of 4?
A and B throw a die for a stake of Rs.44,000, which is to be won by the player who first throws the number 5. If A takes the first throw, what are their expectations ?
Alejandro wants to adopt a puppy from an animal shelter. At the shelter, he finds four puppies that he likes: a male and female puppy from each of the two breeds of collie and Labrador. The puppies are each so cute that Alejandro cannot make up his mind, so he decides to pick the dog randomly. Find the probability that Alejandro chooses anything except a male collie or a male Labrador. The probability is (Type an integer or a simplified fraction.)

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