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?

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?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 6E: If two fair dices are rolled, find the probabilities of the following results. A sum of 6, given...

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