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An American roulette wheel has 38 slots numbered 00, 0, and 1-36. Slots 0, 00 are green; Slots 1, 3, 5, 7, 9, 12, 14,

An American roulette wheel has 38 slots numbered 00, 0, and 1-36.

  • Slots 0, 00 are green;
  • Slots 1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36 are red;
  • Slots 2, 4, 6, 8, 10, 11, 13, 15, 17, 20, 22, 24, 26, 28, 29, 31, 33, 35 are black.

The casino only wins if the ball falls in a green slot.

  1. If I bet on red 4 times, how many times would I expect to win?
  2. If I bet on green 4 times, what is the probability that I win 2 times or more?
  3. If the game is played 4 times, what is the probability that the casino wins 2 times or less?
  4. If the game is played 10 times, what is the probability that that the casino loses every time or wins just once?

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