Suppose a jar contains 6 red marbles and 34 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.
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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 \(\boxed{0.01923076923076923}\).