A bag contains 4 red marbles, 7 white marbles and 3 blue marbles. If Sue pulls one marble from the bag. What is the probability that the marble will be blue ?

Options

A. `1/(14)`
B. `1/(11)`
C. `3/(14)`
D. `3/(11)`

Answer

To find the probability that Sue pulls a blue marble from the bag, we can follow these steps:

### Step 1: Identify the number of each color of marble in the bag.
- Red marbles: 4
- White marbles: 7
- Blue marbles: 3

### Step 2: Calculate the total number of marbles in the bag.
Total marbles = Number of red marbles + Number of white marbles + Number of blue marbles
Total marbles = 4 (red) + 7 (white) + 3 (blue)
Total marbles = 4 + 7 + 3 = 14

### Step 3: Identify the favorable outcomes for pulling a blue marble.
The favorable outcomes for pulling a blue marble are the number of blue marbles in the bag, which is 3.

### Step 4: Use the probability formula to calculate the probability of pulling a blue marble.
Probability (P) of an event = (Number of favorable outcomes) / (Total number of outcomes)
P(blue marble) = Number of blue marbles / Total number of marbles
P(blue marble) = 3 / 14

### Final Answer:
The probability that Sue pulls a blue marble from the bag is **3/14**.

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