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Question

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 not a red ball.

Solution
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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 outcome $$=10$$
Number of favourable outcome $$=3+5=8$$
Not a red ball
$$P(E)=\dfrac{Number\ of\ favaourable\ outcome}{Number\ of\ all\ possible\ outcome}=\dfrac{8}{10}=\dfrac{4}{5}$$

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