Answer :
Final answer:
The number of blue counters in the box is 9, and the number of non-green counters is 15. Therefore, the probability that a counter drawn at random is not green is 75%.
Explanation:
To solve this question, we first need to know how many blue counters there are in the box. We know there are 20 counters in total, 6 of which are red, and 5 of which are green, so the remaining counters are blue. This means there are 20 - 6 - 5 = 9 blue counters in the box.
Next, we need to calculate the probability that a randomly selected counter is not green. The only other counters in the box are either red or blue. So, the probability of picking a counter that's not green is the sum of the probabilities of picking a red counter and a blue counter.
The probability of Lethna taking a red counter is the number of red counters divided by the total number of counters: 6 / 20 = 0.3.
Similarly, the probability of Lethna taking a blue counter is the number of blue counters divided by the total number of counters: 9 / 20 = 0.45.
So, the probability that Lethna takes a counter that is not green is 0.3 (red) + 0.45 (blue) = 0.75, or 75%.
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