CBSE Class 10 Maths (Standard) 2023 · Paper 30/6/1 · Question 38

Probability 4 marks Hard

"Eight Ball" is a game played on a pool table with 15 balls numbered 1 to 15 and a "cue ball" that is solid and white. Of the 15 numbered balls, eight are solid (non-white) coloured and numbered 1 to 8 and seven are striped balls numbered 9 to 15. The 15 numbered pool balls (no cue ball) are placed in a large bowl and mixed, then one ball is drawn out at random.

(i)What is the probability that the drawn ball bears number 8?[1]
(ii)What is the probability that the drawn ball bears an even number? OR What is the probability that the drawn ball bears a number which is a multiple of 3?[2]
(iii)What is the probability that the drawn ball is a solid coloured and bears an even number?[1]

Answer

P (8) = \frac{1}{15}

;

P (even) = \frac{7}{15}

(or multiple of 3

= \frac{1}{3}

);

P (solid and even) = \frac{4}{15}

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Standard) 2023 · Paper 30/6/1, Question 38 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2023 · Paper 30/6/1 · Question 38

Answer

From the board paper

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