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 bag contains 4 white and 6 black balls. If one ball is drawn at random, what is the probability that it is black?
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For probability questions, use \( P(\text{event}) = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} \), ensuring all outcomes are counted correctly.
Updated On: May 30, 2025
- \( \frac{2}{5} \)
- \( \frac{3}{5} \)
- \( \frac{1}{2} \)
- \( \frac{4}{5} \)
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The Correct Option is B
Solution and Explanation
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 \(\frac{3}{5}\).
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