Question

A bag contains $4$ white and $6$ black balls, - all of the same shape and same size. A ball is drawn from the bag without looking into the bag. Find the probability that the ball drawn is:

$\left(i\right)$ A black ball

Answer 1

Step: Find the probability that ball drawn is black

Given: A bag contains $4$ white and $6$ black balls.

Total number of outcomes $=6+4=10$

Favourable outcomes for ball drawn to be black $=6$

Probability that the drawn ball is black

$=\frac{\text{Number of favourable outcomes}}{\text{Total number of possible outcomes}}$

$=\frac{6}{10}$

$=\frac{3}{5}$

Hence, the probability that a black ball is drawn is $\frac{3}{5}.$