Question

A bag contains 6 white and 3 black balls. When a ball is drawn without looking, the probability that the ball is black is ___.

• A. $\frac{1}{4}$
• B. $\frac{1}{3}$
• C. $1$
• D. $0$

Answer 1

The correct option is B

$\frac{1}{3}$

The total number of possible outcomes = Total number of balls

= 6 + 3

= 9

Number of favourable outcomes = Number of black balls

= 3

​​​​​$\because$ Probability of an event, P(E) = $\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$

$\therefore$ Probability of getting a black ball = $\frac{3}{9}$

= $\frac{1}{3}$