Exercise 2. In this question it is fine to use a calculator or computer to express your answers as decimals, rather than as fractions. In class we played a game in which two players, whom we shall call A and B, form two random variables X₁ and X₂ by each rolling two dice. X₁ (A's r.v.) is the sum of the two numbers shown on the dice. X₂ (B's r.v.) is 1.5 times the large of the two numbers shown. (a) Calculate the probability that A beats B in a round of the game. (b) Calculate the probability that A and B get equal scores. (c) Given that one player wins, calculate the conditional probability that the winning player is
Exercise 2. In this question it is fine to use a calculator or computer to express your answers as decimals, rather than as fractions. In class we played a game in which two players, whom we shall call A and B, form two random variables X₁ and X₂ by each rolling two dice. X₁ (A's r.v.) is the sum of the two numbers shown on the dice. X₂ (B's r.v.) is 1.5 times the large of the two numbers shown. (a) Calculate the probability that A beats B in a round of the game. (b) Calculate the probability that A and B get equal scores. (c) Given that one player wins, calculate the conditional probability that the winning player is
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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Transcribed Image Text:Exercise 2. In this question it is fine to use a calculator or computer to express your answers as
decimals, rather than as fractions.
In class we played a game in which two players, whom we shall call A and B, form two random
variables X₁ and X₂ by each rolling two dice.
X₁ (A's r.v.) is the sum of the two numbers shown on the dice. X₂ (B's r.v.) is 1.5 times the
large of the two numbers shown.
(a) Calculate the probability that A beats B in a round of the game.
(b) Calculate the probability that A and B get equal scores.
(c) Given that one player wins, calculate the conditional probability that the winning player is
A.
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