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 address this issue, the probability of selecting a black ball from the bag must be determined.

1. Core Principles:

- Probability: This is defined as the proportion of desired outcomes relative to all possible outcomes.
- The formula for probability is: \[P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\ \]

2. Provided Information:

- White balls count = 4
- Black balls count = 6
- Total balls count = 4 + 6 = 10

3. Probability Calculation:

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

Final Determination:

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