Suppose a jar contains 12 red marbles and 20 blue marbles. If you reach into the jar and pull out 2 marbles at random at the same time, find the probability that both marbles are red.

To find the probability that both marbles pulled from the jar are red, we can use the following steps:

1. Calculate the Total Number of Marbles:
- There are 12 red marbles and 20 blue marbles in the jar.
- Total marbles = 12 red + 20 blue = 32 marbles.

2. Probability of Drawing the First Red Marble:
- The probability that the first marble you draw is red is the number of red marbles divided by the total number of marbles.
- Probability of first red marble = 12 red / 32 total = 0.375.

3. Probability of Drawing the Second Red Marble:
- Once you've drawn a red marble, there are now 11 red marbles left.
- The total number of marbles decreases by 1, so now there are 31 marbles left in total.
- Probability of second red marble = 11 red / 31 total = approximately 0.3548.

4. Calculate the Probability That Both Marbles are Red:
- To find the probability that both marbles are red, multiply the probability of the first marble being red by the probability of the second marble being red.
- Probability both are red = 0.375 * 0.3548 = approximately 0.133.

Therefore, the probability that both marbles drawn from the jar are red is approximately 0.133.