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can someone help me check if my answers are correct Rules: There are three dice in the game: red dice, black dice, and white dice

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can someone help me check if my answers are correct

Rules:

  1. There are three dice in the game: red dice, black dice, and white dice
    1. The numberings of red dice: 3,3,3,3,3,6
    2. The numberings of orange dice: 2,2,2,5,5,5
    3. The numberings of brown dice: 1,4,4,4,4,4
  2. Two players need to decide which one can choose and roll the dice first. Yet, they are not allowed to choose the same dice. They could decide it by paper, scissors, stone or whatever they want.
  3. Whoever rolls a higher number wins.
  4. The winner can win 8 tokens while the loser needs to pay 2 tokens.

questions

  1. What is the expected number of tokens for you using the red dice while the opponent choosing orange dice?
  2. What is the expected number of tokens for you using the red dice while the opponent choosing brown dice?
image text in transcribedimage text in transcribed
probability win? N - X Q1 : 13 UT NI - N F b X 12 X 3 2 6 X NI- V - 5 I- 6 X NI- V figure 1 2 :. The probability of red die beats orange die + = 12 . - required expected value = 8x 7 + (-2 ) x5 = 4. 6667 - 0. 8 3 333 = 3. 83 34Q. 2 probability win? 5 X al - 36 V 3 4 5 X b 36 X 6 X 6 36

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