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There is a bag a filled with 3 blue and 4 red 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 of the same colour?

Sagot :

Mhanifaidn

Answer:

  • 3/7

Step-by-step explanation:

Given

  • Red = 4, Blue = 3

Total number of marbles is

  • 3 + 4 = 7

Probability of getting 2 of the same color is

  • P(2 same) = P(red, red) + P(blue, blue)

Probability of 2 reds is:

  • P(red, red) = 4/7*3/6 = 2/7

Probability of 2 blues is:

  • P(blue, blue) = 3/7*2/6 = 1/7

Required probability is

  • P(2 same) = 2/7 + 1/7 = 3/7
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