There is a bag filled with 3 blue, 2 red and 4 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 the same colour?

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The probability of getting 2 the same colour is 29/72

Probability is the likelihood or chance that an event will occur.

Probability = Expected/Total outcome

Given that the bag is filled with 3 blue, 2 red, and 4 green marble, the total marble is 9

Pr(picking 2 blue and not replaced) = 3/9 * 3/8 = 1/8

Pr(picking 2 red and not replaced) = 2/9 * 2/8 = 1/18

Pr(picking 2 green and not replaced) = 4/9 * 4/8 = 2/9

Taking the sum of the probabilities = 1/8 + 1/18 + 2/9

The probability of getting 2 the same colour = 9+4+16/72 = 29/72

Hence the probability of getting 2 the same colour is 29/72

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