1. (5 points) Consider a game of dice: There are two phases to the game. Phase 1: you throw 1 fair six-sided die. Call y

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1 5 Points Consider A Game Of Dice There Are Two Phases To The Game Phase 1 You Throw 1 Fair Six Sided Die Call Y 1 (57.62 KiB) Viewed 89 times

1. (5 points) Consider a game of dice: There are two phases to the game. Phase 1: you throw 1 fair six-sided die. Call your result x. Phase 2. You throw the 6-sided die x times. If you get a result of 6 in any of your throws in phase 2, you win. What is your probability of winning? 2. (5 points) Using the same setup as in 1., we now change the rules. Instead of trying to get the number 6, you sum up the results of your throws in phase 2. What is the expected value of your sum? 3. (5 points) You know that loaded 6-sided dice are in circulation among RU students. These loaded dice are different from fair dice in that any roll that should result in a 6 results in a l. Your friend gives you a pair of dice. You do not know if both are loaded, one is loaded or both are fair, only that a dice is loaded with probability p=0.6. If you throw both dice, what is the expected value of their sum? a