Question

In a bag, there are 6 white balls and 4 black balls. Two balls are drawn at random. What is the probability that both balls are white?

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

Hint:

When calculating probability with combinations, always compute the total possible outcomes and favorable outcomes.

Answer 1

The Correct Option is B

The total number of ways to pick 2 balls from 10 is \( \binom{10}{2} = 45 \). 

The number of favorable outcomes (picking 2 white balls) is \( \binom{6}{2} = 15 \). Thus, the probability is \( \frac{15}{45} = \frac{1}{3} \).