1. A bag contains 15 red marbles, 20 blue marbles, and 25 green marbles. If two marbles are drawn at random, what is the probability that both are blue?

To solve the problem, let's break it down step by step.

### Total Number of Marbles:
First, we calculate the total number of marbles in the bag:

\[
\text{Total marbles} = 15 \text{ (red)} + 20 \text{ (blue)} + 25 \text{ (green)} = 60 \text{ marbles}
\]

### Probability of Drawing Two Blue Marbles:
To find the probability that both marbles drawn are blue, we first calculate the probability of drawing one blue marble, then the probability of drawing a second blue marble, given that the first one was blue.

1. **Probability of drawing the first blue marble:**

   The number of blue marbles is 20, and the total number of marbles is 60.

   \[
   P(\text{First blue}) = \frac{20}{60} = \frac{1}{3}
   \]

2

Understand the probability of drawing two blue marbles from a bag containing 15 red marbles, 20 blue marbles, and 25 green marbles. Step-by-step solution provided, calculating the total number of marbles and the probability of each event. Suitable for students in Grades 7-9.

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