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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:

 

(i) What is the probability that the drawn ball bears number 8
1 1/15  
2 2/20  
3 1/30  
4 1/25  

Ans.

(1)

Total number of numbered ball =n(S)=15

Let event E be ‘drawn ball bears number 8’ i.e., n(E)=1

P(E)=n(E)n(S)=115