To find the probability of Justin winning the drawing if he meets his goal of having 20 tickets, we first need to understand the total number of tickets after he achieves that goal, which he estimates would be about 200 tickets in total (including his 20 tickets).
The probability \( P \) of Justin winning the drawing can be calculated using the formula:
\[ P = \frac{\text{Number of tickets Justin has}}{\text{Total number of tickets}} \]
If Justin has 20 tickets and there are approximately 200 tickets in total, the probability would be:
\[ P = \frac{20}{200} \]
Now, simplifying \( \frac{20}{200} \):
\[ P = \frac{1}{10} \]
Thus, the probability of Justin winning the drawing if he meets his goal of 20 tickets is:
\[ \frac{1}{10} \]
From the provided response options, the correct answer is:
Start Fraction 1 over 10 End Fraction.