If a bag contains 3 red, 5 blue, and 2 green marbles, what is the probability of pulling out a blue marble?

To find the probability of pulling out a blue marble from the bag, you first need to determine the total number of marbles. In this case, there are:

• 3 red marbles
• 5 blue marbles

• 2 green marbles

Adding these together gives a total of:

3 (red) + 5 (blue) + 2 (green) = 10 marbles.

Next, the probability of pulling out a blue marble is calculated by taking the number of blue marbles and dividing it by the total number of marbles. There are 5 blue marbles, so the probability is:

Probability of blue marble = Number of blue marbles / Total number of marbles = 5 / 10.

This fraction can be simplified to 1/2, which is the correct probability of selecting a blue marble from the bag. Therefore, the solution illustrates that the probability expressed in its simplest form is 1/2, corresponding accurately with the calculated outcome.