A bag contains 5 red, 4 green, and 3 blue marbles. what is the probability of randomly selecting a blue marble, replacing it in the bag, and then randomly selecting a red marble?

Respuesta :

Answer:

  • Probability of selecting a blue marble, then a red marble is 5/48

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Given

  • Marbles: 5 red, 4 green, and 3 blue
  • Total number of marbles: 5 + 4 + 3 = 12

Probabilities are

  • P(blue) = blue / total = 3/12 = 1/4
  • P(red) = red / total = 5/12

The probability of the two events with replacement of marble is

  • P(blue, red) = P(blue) × P(red) = 1/4 × 5/12 = 5 / 48