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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:

 

(iii) What is the probability that the drawn ball is a solid coloured and bears an even number
1 3/15  
2 4/15  
3 2/15  
4 1/15  

Ans.

(2)

Let H be the event ‘drawn ball is a solid coloured and bears an even number’.

Outcomes favourable to event H are 2, 4, 6, 8 i.e., n(H) = 4

P(H)=n(H)n(S)=415