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Question
From a bag containing 10 red, 4 blue and 6 black balls, a ball is drawn at random. Find the probability of drawing a red ball.
Solution
Total number of balls = 10 + 4 + 6 = 20.
One ball can be drawn from 20 balls in 20C1 = 20 ways
∴ n(S) = 20
Let A ≡ the event that ball drawn is a red ball.
One red ball can be drawn from 10 red balls in 10c1 = 10 ways
∴ n(A) = 10
∴ the required probability = P(A)
= `("n"("A"))/("n"("S"))`
= `10/20`
= `1/2`
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