Question

A box contains 6 blue, 4 white, and 8 red marbles. If a marble is drawn at random, find the probability that it is blue.

• A. $\frac{3}{4}$
• B. $\frac{1}{2}$
• C. $\frac{1}{3}$
• D. 0

Hint:

Always divide favorable outcomes by total outcomes when calculating probability.

Answer 1

The Correct Option is C

Step 1: Total number of marbles.
\[ 6 + 4 + 8 = 18 \]
Step 2: Number of blue marbles = 6.

Step 3: Probability formula.
\[ P(\text{blue}) = \frac{\text{favorable outcomes}}{\text{total outcomes}} = \frac{6}{18} = \frac{1}{3} \]
Step 4: Conclusion.
The probability of drawing a blue marble is \( \frac{1}{3} \).