Final answer:
The probability of selecting two perfect squares from a bag of 30 lottery balls is 1/145.
Step-by-step explanation:
There are a total of 30 balls numbered 1-30 in the bag. The probability of selecting a perfect square on the first draw is 3/30, because there are 3 perfect squares (1, 4, and 9) out of the 30 balls. After the first ball is drawn, there are now 29 balls remaining in the bag, including 2 perfect squares. So, the probability of selecting a second perfect square on the second draw is 2/29.
The overall probability of selecting two perfect squares can be found by multiplying the probabilities of each individual draw: (3/30) * (2/29) = 1/145.