A bag contains 6 green, 5 red, 8 yellow and 3 blue marbles. If a single marble is chosen at random from the bag, what is the probability of getting a blue marble?

Answer

To find the probability of drawing a blue marble from the bag, we will follow these steps:

### Step 1: Identify the total number of marbles
First, we need to determine the total number of marbles in the bag. The bag contains:
- 6 green marbles
- 5 red marbles
- 8 yellow marbles
- 3 blue marbles

**Total number of marbles = 6 (green) + 5 (red) + 8 (yellow) + 3 (blue) = 22 marbles**

### Step 2: Identify the number of favorable outcomes
Next, we need to find the number of favorable outcomes for the event of drawing a blue marble. In this case, the number of blue marbles is:

**Number of blue marbles = 3**

### Step 3: Calculate the probability
The probability of an event is calculated using the formula:

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

Substituting the values we found:

\[ \text{Probability of drawing a blue marble} = \frac{\text{Number of blue marbles}}{\text{Total number of marbles}} = \frac{3}{22} \]

### Final Answer
Thus, the probability of drawing a blue marble from the bag is:

\[ \frac{3}{22} \]

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