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There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?

Respuesta :

yeetschool2020

Answer:

                  .

green 0.416  red0.25 blue0.3

Step-by-step explanation:

mhanifa

Answer:

  • 47/66 or 0.71 or  71%

Step-by-step explanation:

  • 4 blue, 3 red and 5 green marbles
  • Total marbles = 12

Possible options for 2 different colors are:

  • BR, BG, RB, RG, GB, GR

Probability of each:

  • P(BR) = 4/12*3/11 = 1/11
  • P(BG) = 4/12*5/11 = 5/33
  • P(RB) = 3/12*4/11 = 1/11
  • P(RG) = 3/12*5/11 = 5/44
  • P(GB) = 5/12*4/11 = 5/33
  • P(GR) = 5/12*3/11 = 5/44

Now, the probability of 2 different colors:

  • P(2 different colors) =
  • 1/11*2 + 5/33*2 + 5/44*2 =
  • 2/11 + 10/33 + 5/22 =
  • (2*6+ 10*2 + 5*3)/66 =
  • 47/66 = 0.71 = 71%

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