Q 2.3. There is a pair of magic dice. When they are rolled together, then half the time, they behave like a normal pair of dice (with probability 1/2), but the other half of the time they miraculously roll a double (equally likely to be any of the six possible doubles). What is the expected value of the product of the two values on the top of each dice when the pair of dice are rolled?

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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Q 2.3. There is a pair of magic dice. When they are rolled together, then half the time, they
behave like a normal pair of dice (with probability 1/2), but the other half of the time they
miraculously roll a double (equally likely to be any of the six possible doubles). What is the
expected value of the product of the two values on the top of each dice when the pair of dice
are rolled?
Transcribed Image Text:Q 2.3. There is a pair of magic dice. When they are rolled together, then half the time, they behave like a normal pair of dice (with probability 1/2), but the other half of the time they miraculously roll a double (equally likely to be any of the six possible doubles). What is the expected value of the product of the two values on the top of each dice when the pair of dice are rolled?
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