Question: Key Concepts. Basic Probability Principles; Random Variables; Expected Values and Properties of Expected Values; Bayes' Theorem. 2.In the game Starcraft there are three races: Terran,

Key Concepts. Basic Probability Principles; Random Variables; Expected Values and Properties of Expected Values; Bayes' Theorem.

2.In the game Starcraft there are three races: Terran, Zerg, and Protoss. A new player to the game gets to pick one race with equal probability. Once a race is chosen, the players will stay with their choice for their entire gaming career. Based on the league record, 60% of new Terran players can get out of Bronze League, 30% of new Zerg players can get out of Bronze League, and 90% of new Protoss players can get out of Bronze League. Suppose that a new player just gets promoted from Bronze League. What is the chance that this player plays Zerg?

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