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1. A bag contains 3 balls: 1 blue, 1 red, and 1 green. Suppose I draw 2 balls from the bag with replacement (that is,

1. A bag contains 3 balls: 1 blue, 1 red, and 1 green. Suppose I draw 2 balls from the bag with replacement(that is, after drawing the first ball and observing its color, I return it to the bag). Let B be the event of drawing a blue ball in a given draw, R be the event of drawing a red ball and G be the event of drawing a green ball.

1 A) List all possible outcomes. (2 marks)

List all possible outcomes for each of the following events and find the corresponding probabilities. (8 marks)

  1. A = {Exactly 1 green ball is drawn}
  2. B = {The first ball is red}
  3. C = {At least one ball is blue}
  4. D = {Both balls are the same color}

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