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Justin currently has 13 tickets out of an estimated total of 200 tickets. To find the probability of him winning the drawing, we need to compare the number of tickets he has to the number of tickets needed to reach his goal.
Justin needs 20 tickets to reach his goal, so he needs 20 - 13 = 7 more tickets.
There are 200 - 13 = 187 tickets left in the jar.
The probability of Justin winning the drawing can be calculated as the number of ways he can win (by getting those 7 remaining tickets) divided by the total number of possible outcomes (total number of tickets in the jar).
Probability = Number of ways to win / Total number of outcomes
Probability = 7 / 187 ≈ 0.0374
Therefore, the probability of Justin winning the drawing is approximately 0.0374 or 3.74%.