1. **State the problem:**
We want to find the probability that Kiaan takes two counters that are not white when he draws one counter, replaces it, and then draws another.
2. **Identify total counters and probabilities:**
Total counters = 16 white + 3 green + 1 black = 20 counters.
Probability of not white = \( \frac{4}{20} \) because 3 green + 1 black = 4 counters.
3. **Use the multiplication rule for independent events:**
Since Kiaan replaces the counter, the draws are independent.
The probability of two not white counters is:
$$ P(\text{not white, then not white}) = P(\text{not white}) \times P(\text{not white}) $$
4. **Calculate the probability:**
$$ P = \frac{4}{20} \times \frac{4}{20} = \frac{4 \times 4}{20 \times 20} = \frac{16}{400} $$
5. **Simplify the fraction:**
$$ \frac{16}{400} = \frac{\cancel{16}}{\cancel{400}} = \frac{1}{25} $$
6. **Final answer:**
The probability that Kiaan takes two counters that are not white is \( \frac{1}{25} \).
Two Not White E5856D
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