Final answer:
The probability of drawing two red marbles is 15/28.
Step-by-step explanation:
To find the probability of drawing two red marbles, we need to consider the number of red marbles in the bag and the total number of marbles.
Given that the bag contains 6 red marbles and 2 white marbles, there are a total of 8 marbles in the bag.
For the first draw, the probability of selecting a red marble is 6/8. After the first draw, there are 5 red marbles and 2 white marbles left in the bag.
For the second draw, the probability of selecting another red marble is now 5/7, since there are 5 red marbles left and a total of 7 marbles remaining in the bag.
Therefore, the probability of selecting two red marbles is (6/8) * (5/7) = 30/56, which can be simplified to 15/28.