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Question
Read the following passage:
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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.
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Based on the above information, answer the following questions:
- What is the probability that the drawn ball bears number 8?
- 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? - What is the probability that the drawn ball is a solid coloured and bears an even number?
Solution
i. Probability of no. 8 = `1/"Total no. of balls"`
= `1/15`
ii. Even number balls are 2, 4, 6, 8, 10, 12, 14
Total number of even number balls = 7
∴ Probability of an even number ball
= `"No. of even balls"/"Total no. of balls"`
= `7/15`
OR
Multiples of 3 between 1 to 15 are 3, 6, 9, 12, 15
Total number of balls which is multiple of 3 = 5
∴ Probability of multiple of 3 ball
= `"No. of multiple of 3 balls"/"Total no. of balls"`
= `5/15`
= `1/3`
iii. Solid coloured and even number balls are 2, 4, 6, 8
∴ Required probability
= `"No. of favourable outcomes"/"Total no. of outcomes"`
= `4/15`
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