Answer :
Final answer:
The probability that the two counters are different colors is 9/35.
Explanation:
To find the probability that the two counters are different colors, we can find the probability of drawing a yellow counter first and then a green counter. The probability of drawing a yellow counter first is 12/21. After taking out one yellow counter, there are 11 yellow counters and 9 green counters left. So the probability of drawing a green counter second is 9/20. Multiply the probabilities together to get (12/21) * (9/20) = 108/420. Simplifying, we get a final probability of 9/35.
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