George has a bag of marbles. Inside the bag are 5 red marbles, 3 green marbles, and 2 blue marbles. He draws out two marbles in a row, without replacement. What is the number of outcomes?

Three colors

3*3=9 outcomes

To determine the number of outcomes, we need to consider the total number of marbles in the bag and the number of marbles drawn out. Since George draws two marbles without replacement, the number of outcomes can be calculated using the concept of combinations.

The first marble can be any of the 10 marbles in the bag (5 red + 3 green + 2 blue). After drawing the first marble, there are 9 marbles left in the bag. So, for the second marble, there are 9 possibilities.

To find the total number of outcomes, we need to multiply the number of possibilities for the first marble by the number of possibilities for the second marble. Therefore, the number of outcomes is:
10 * 9 = 90

Hence, there are 90 possible outcomes when George draws out two marbles in a row without replacement from his bag.