Find the probability for the experiment of drawing two marbles (without replacement) from a bag containing two green, four yellow, and two red marbles. The marbles are of different colors.

The bag contains 2+4+2=8 marbles in total.

We are going to find a probability of the opposite event: drawing marbles of same color.

There are three possibilities:

1. Drawing both green marbles

2. Drawing both yellow marbles

3. Drawing both red marbles

The probability of drawing both green marbles:

The probability of drawing both yellow marbles:

The probability of drawing both red marbles:

So, the probability of drawing marbles of the same color is:

Now, the probability of drawing marbles of different colors is:

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