# A bag contains $$3$$ white, $$5$$ black, and $$2$$ red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball is drawn is a black ball.

#### In a bag $$3$$ balls are white

$$2$$ balls are red

$$5$$ balls are black

Total number of balls $$=3+2+5=10$$

Number of possible outcomes of one black ball $$=10$$

and number of favourable outcomes of one black ball $$=5$$

We know that

$$P(E)=\dfrac{Number\ of\ favourable\ outcomes}{Number\ of\ all\ possible\ outcome}=\dfrac{5}{10}=\dfrac{1}{2}$$