1-7.4 A fair coin is tossed. If it comes up heads, a single die is rolled. If it comes up tails, two dice are rolled. Given that the outcome of the dice is 3, but you do not know whether one or two dice were rolled, what is the probability that the coin came up heads?

1-7.4 A fair coin is tossed. If it comes up heads, a single die is rolled. If it comes up tails, two dice are rolled. Given that the outcome of the dice is 3, but you do not know whether one or two dice were rolled, what is the probability that the coin came up heads?

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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But change the problem to say that the coin is biased. The probability of flipping heads is 0.75, while the probability of tails is 0.25.

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45
1-7.4 A fair coin is tossed. If it comes up heads, a single die is rolled. If it comes up tails, two
dice are rolled. Given that the outcome of the dice is 3, but you do not know whether
one or two dice were rolled, what is the probability that the coin came up
heads?

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