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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 red.

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Solution

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The total number of balls in the bag $= 3 + 4 + 1 = 8$ balls
So, the number of possible outcomes $= 8 = n (S)$
Event of drawing a red ball $= R, R, R$
So, $n (E) = 3$
Thus, probability of drawing a red ball $= n (E) / n (S) = 3 / 8$

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