Step 1 :The problem is asking for the probability of drawing 2 red marbles from a jar containing 6 red marbles and 34 blue marbles. The total number of marbles in the jar is 40.
Step 2 :The probability of drawing a red marble on the first draw is \(\frac{6}{40}\).
Step 3 :If a red marble is drawn on the first draw, there will be 5 red marbles left and the total number of marbles will be 39. So, the probability of drawing a red marble on the second draw, given that a red marble was drawn on the first draw, is \(\frac{5}{39}\).
Step 4 :The probability of both events happening is the product of the probabilities of each event.
Step 5 :Final Answer: The probability that both marbles drawn are red is \(\boxed{0.01923076923076923}\).