Explanation:
Since the events are independent, we can use the multiplication rule of probability.
The probability of selecting a red marble on the first draw is 3/10.
After one red marble is drawn, there are 2 red marbles left in the bag and 9 total marbles. So the probability of selecting a red marble on the second draw, given that a red marble was already selected on the first draw, is 2/9.
Similarly, after two red marbles are drawn, there is only 1 red marble left in the bag and 8 total marbles. So the probability of selecting a red marble on the third draw, given that two red marbles were already selected on the first two draws, is 1/8.
Therefore, the compound probability of selecting 3 red marbles in a row is:
(3/10) x (2/9) x (1/8) = 1/120
So the probability of selecting 3 red marbles in a row is 1/120 or approximately 0.0083.