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Question

A bag contains $$3$$ red balls, $$4$$ blue balls, and $$1$$ yellow ball, all the balls being identical in shape and size. If a ball is taken out of the bag without looking into it; find the probability that the ball is not yellow.

Solution
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The total number of balls in the bag $$= 3 + 4 + 1 = 8$$ balls

So, the number of possible outcomes $$= 8 = n(S)$$

Probability of not drawing a yellow ball $$= 1 -$$ Probability of drawing a yellow ball

Thus, probability of not drawing a yellow ball $$= 1 – 1/8 = (8 – 1)/ 8 = 7/8$$

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