Question: 1. Problem 8.17 You have five coins colored red, blue, white, green, and yellow. Apart from the variation in color, the coins look identical. One

1. Problem 8.17 You have five coins colored red, blue, white, green, and yellow.

Apart from the variation in color, the coins look identical. One of the coins 256 Conditional probability and Bayes is unfair and when tossed comes up heads with a probability of 3 4

; the other four are fair coins. You have no further information about the coins apart from having observed that the blue coin, tossed three times, came up heads on all threetosses.Onthegroundsofthisobservation,youindicatethatthebluecoinis the unfair one. What is the probability of your being correct in this assumption?

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