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Chapter: Probability· Mathematics Part 1 (Algebra)

A bag contains 5 red, 3 white and 2 blue balls of the same size. One ball is drawn at random. Find the probability that the ball drawn is (a) not red (b) white or blue.

Q.26 A bag contains 5 red, 3 white and 2 blue balls of the same size. One ball is drawn at random. Find the probability that the ball drawn is (a) not red (b) white or blue.

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Best answer

Answer: (a) \(\dfrac{1}{2}\) (b) \(\dfrac{1}{2}\)

Total balls = 5 + 3 + 2 = 10, so n(S) = 10.

(a) Not red: 3 white + 2 blue = 5 balls. \(P(A) = \dfrac{5}{10} = \dfrac{1}{2}\)

(b) White or blue: also 3 + 2 = 5 balls, \(P(B) = \dfrac{5}{10} = \dfrac{1}{2}\). This is the same event as (a), because a ball that is not red must be white or blue.

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report
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