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# 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.

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#### In a bag $$3$$ balls are white$$2$$ balls are red$$5$$ balls are blackTotal 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$$P(E)=\dfrac{Number\ of\ favourable\ outcomes}{Number\ of\ all\ possible\ outcome}=\dfrac{5}{10}=\dfrac{1}{2}$$

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