What is the probability of picking a red marble from a bag containing 3 red, 5 blue, and 2 green marbles?

To determine the probability of picking a red marble from the bag, you first need to know the total number of marbles and the number of favorable outcomes (in this case, the red marbles).

The bag contains:

• 3 red marbles

• 5 blue marbles
• 2 green marbles

First, calculate the total number of marbles in the bag:

Total marbles = Number of red + Number of blue + Number of green
Total marbles = 3 + 5 + 2 = 10

Next, the probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. Here, the number of favorable outcomes for picking a red marble is 3 (because there are 3 red marbles).

Therefore, the probability of picking a red marble is:

Probability of red marble = Number of red marbles / Total number of marbles
Probability of red marble = 3 / 10

This simplifies to 3/10, which accurately represents the likelihood of selecting a red marble from the given bag.