Louisiana is busy designing new lottery scratchoff games In

Louisiana is busy designing new lottery scratch-off games. In the latest game, Bayou Boondoggle, the player is instructed to scratch off on spot: A, B, or C. A can reveal \"Loser, or \"Win $1\" or \"Win $50\" B can reveal \"Loser\"or \"Take a Second Chance. C can reveal \"Loser\" or \"Win $500\" On the second chance, the player is instructed to scratch off D or E. D can reveal \"Loser\" or \"Win $1\" E can reveal \"Loser\" or \"Win $10\" The probabilities at A are .9, .09, and .01. The probabilities at B are .8 and .2. The probabilities at C are .999 and .001. The probabilities at D are .5 and .5. Finally, the probabilities at E are .95 and .05. Calculate the expected value of A, B, and C and calculate the expected value of this game.

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