Question

A bag contains 4 white and 6 black balls. If one ball is drawn at random, what is the probability that it is black?

• A. \( \frac{2}{5} \)
• B. \( \frac{3}{5} \)
• C. \( \frac{1}{2} \)
• D. \( \frac{4}{5} \)

Hint:

For probability questions, use \( P(\text{event}) = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} \), ensuring all outcomes are counted correctly.

Answer 1

The Correct Option is B

To solve the problem, we need to calculate the probability of drawing a black ball from the bag.

1. Understanding the Concepts:

- Probability: The ratio of favorable outcomes to total possible outcomes.
- Probability formula: \[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

2. Given Values:

- Number of white balls = 4
- Number of black balls = 6
- Total number of balls = 4 + 6 = 10

3. Calculate Probability:

\[ P(\text{black ball}) = \frac{6}{10} = \frac{3}{5} \]

Final Answer:

The probability of drawing a black ball is \(\frac{3}{5}\).