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Assume we are playing a game. You will roll an unfair dice with the following probability P={1:0.1,2 : 0.3,3:0.1,4:0.2,5:0.1,6:0.2}. (i.e. P(x=2)=0.3). The reward depends on

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Assume we are playing a game. You will roll an unfair dice with the following probability P={1:0.1,2 : 0.3,3:0.1,4:0.2,5:0.1,6:0.2}. (i.e. P(x=2)=0.3). The reward depends on whether the rolled dice shows an even number or an odd number. If you roll an even number you will win 100$ and if you roll an odd number you will lose 200$ (i.e. you win 200$ ). What is the expected reward amount (the expected value may be negative)

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