You play a dice game rolling three dice and summing the roll. It cost $ 2.00 to roll the dice.If you roll an even number you get to roll againIf you roll a 3,5,15,or 17 you win $ 8.00If you roll a 7,9,11,or 13 you lose your$ 2.00let X = the payout of the dice game (there are three outcomes to the dice game)Number of possible outcomes for rolling three dice isP(even) =P(3,5,15,or 17) =P(7,9,11,or 13) =x=payout P(x)x· P(x)(x-μ)². P(x)Push $0.00Win $ 8.00lose $ 2.00sumsWhat is the average long term winnings?What is the long term standard deviation of winning?Submit Questionacer

Here given we play a dice game and rolling three dice and summing the roll. It costs $2 to roll the…

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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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Two fair dice are thrown together 15 times. Calculate the probability of double ((1,1), (2,2), ..., (6,6)) up to three times.
A pair of dice is rolled. The outcomes are summarized in the following table: (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) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) 1. Find the probability, that the sum is 10 (adding the two numbers will equal to 10). Give your answer as a decimal, rounded to two decimal digits. 2.Find the probability, that the sum is more than 10 (which means 11 or 12). Give your answer as a decimal, rounded to two decimal digits. 3. Find the probability, that the sum is 6 OR the sum is more than 10. Give your answer as a decimal, rounded to two decimal digits. 4.Find the probability, that the sum is even. Give your answer as a decimal, rounded to two decimal digits. 5.Find the probability, that the sum is even AND the sum is more than 10. Give your answer as a decimal, rounded to two decimal digits.
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Number of possible outcomes for rolling three dice is P(even) = P(3,5,15,or 17) = P(7,9,11,or 13) =