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 red marble

Answer

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

### Step 1: Determine the total number of marbles in the bag.
- We have:
- 6 green marbles
- 5 red marbles
- 8 yellow marbles
- 3 blue marbles

**Total number of marbles = 6 + 5 + 8 + 3 = 22**

### Step 2: Identify the number of favorable outcomes.
- The number of favorable outcomes for drawing a red marble is the number of red marbles in the bag, which is **5**.

### Step 3: Use the probability formula.
- The probability \( P \) of an event is given by the formula:
\[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
- In this case, the event is drawing a red marble.

### Step 4: Substitute the values into the formula.
- Substitute the number of favorable outcomes (5 red marbles) and the total number of outcomes (22 marbles):
\[ P(\text{red marble}) = \frac{5}{22} \]

### Step 5: State the final answer.
- The probability of drawing a red marble from the bag is:
\[ \frac{5}{22} \]

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