Final answer:
The probability of drawing two balls numbered 9 and 3 without replacement is 1/66 or approximately 0.015152.
Step-by-step explanation:
The probability of randomly drawing two balls numbered 9 and 3 without replacement, in that order, can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
In this case, there is only 1 ball numbered 9 and 1 ball numbered 3, so the probability of drawing these two balls in the specific order is:
Probability = (Number of ways to draw 9 and 3) / (Total number of possible outcomes)
Probability = 1 / (12 choose 2) = 1/66 or approximately 0.015152