High School

There are 21 counters in a bag. 12 of the counters are yellow. 9 of the counters are green. Asif takes at random two of the counters. Work out the probability that the two counters are different colours.

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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