Question

In a bag containing 5 blue marbles, 3 green marbles, and 2 red marbles, what is the probability of randomly picking a green marble? Write answer as fraction in simplest form.(1 point)

Answer 1

To find the probability of randomly picking a green marble, we first need to determine the total number of marbles in the bag.

The bag contains:
- 5 blue marbles
- 3 green marbles
- 2 red marbles

Calculating the total number of marbles:

\[
5 + 3 + 2 = 10
\]

Next, we find the number of favorable outcomes, which is the number of green marbles:

\[
3 \text{ green marbles}
\]

Now, we can calculate the probability of picking a green marble by using the formula:

\[
P(\text{green marble}) = \frac{\text{Number of green marbles}}{\text{Total number of marbles}} = \frac{3}{10}
\]

Since \( \frac{3}{10} \) is already in its simplest form, the probability of randomly picking a green marble is:

\[
\boxed{\frac{3}{10}}
\]