Question

A bag contains 5 red, 4 blue and 3 green balls. One ball is drawn at random. What is the probability that the ball drawn is blue?

• A. $1/4$
• B. $1/3$
• C. $4/12$
• D. $5/12$

Hint:

Always check if your final fraction can be simplified. In probability questions, options are frequently given in the simplest form.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
Probability is the ratio of the number of favorable outcomes to the total number of possible outcomes in an experiment.

Step 2: Key Formula or Approach:
$P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

Step 3: Detailed Explanation:
1. Find Total Outcomes: $5 (\text{red}) + 4 (\text{blue}) + 3 (\text{green}) = 12$ balls. 2. Find Favorable Outcomes (Blue balls): 4. 3. Calculate Probability: \[ P(\text{blue}) = \frac{4}{12} \] 4. Simplify the fraction: \[ \frac{4}{12} = \frac{1}{3} \]

Step 4: Final Answer:
The probability of drawing a blue ball is $1/3$. (Note: Both B and C represent the same value, but B is the simplified form).