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Solution


Q.

“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:

 

(ii) (b) What is the probability that the drawn ball bears a number, which is a multiple of 3
1 1/2  
2 1/3  
3 1/5  
4 1/4  

Ans.

(2)

Let G be the event ‘drawn ball bears a multiple of 3’.

Outcomes favourable to event G are 3, 6, 9, 12, 15 i.e., n(G)=5

P(G)=n(G)n(S)=515=13