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

The bag contains 4 white and 6 black balls, so the total number of balls is \( 4 + 6 = 10 \). The probability of drawing a black ball is: \[ P(\text{black}) = \frac{\text{Number of black balls}}{\text{Total balls}} = \frac{6}{10} = \frac{3}{5} \] Thus, the probability is: \[ \boxed{\frac{3}{5}} \]