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"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.
Based on the above information, answer the following questions :
(i) What is the probability that the drawn ball bears number 8 ?
(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?
(iii) What is the probability that the drawn ball is a solid coloured and bears an even number?
The 15 numbered pool balls (no cue ball) are placed in a large bowl and mixed, then one ball is drawn out at random.
Based on the above information, answer the following questions :
(i) What is the probability that the drawn ball bears number 8 ?
(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?
(iii) What is the probability that the drawn ball is a solid coloured and bears an even number?
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(i)P (drawing ball bearing number 8) $= \frac{1}{15}$
(ii)Even numbers = 2, 4, 6, 8, 10, 12, 14
No. of favourable outcomes = 7
P (even number ball) $= \frac{7}{15}$
OR
(ii)Multiples of 3 are 3, 6, 9, 12, 15
No. of favourable outcomes = 5
$\therefore P(\text{multiple of } 3) = \frac{5}{15} = \frac{1}{3}$
(iii) Solid colour and even number 2, 4, 6, 8
P(solid colour and bear an even no.) $= \frac{4}{15}$
(ii)Even numbers = 2, 4, 6, 8, 10, 12, 14
No. of favourable outcomes = 7
P (even number ball) $= \frac{7}{15}$
OR
(ii)Multiples of 3 are 3, 6, 9, 12, 15
No. of favourable outcomes = 5
$\therefore P(\text{multiple of } 3) = \frac{5}{15} = \frac{1}{3}$
(iii) Solid colour and even number 2, 4, 6, 8
P(solid colour and bear an even no.) $= \frac{4}{15}$