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Question

A bag contains 8 red, 3 white and 9 blue balls. If three balls are drawn at random, determine the probability that 

(i) all the three balls are blue balls 

(ii) all the balls are of different colours.


Solution

Out of 20 balls, three balls can be drawn in 20C3 ways. 

Total number of elementary ways = 20C3 

(i) Let E be the event that all the three balls are blue

n(E)=9C3

P(E)=9C320C3

=9×8×720×19×18=795

(ii) Let E be the event that all the balls are of different colour

n(E)=8C1×3C1×9C1

P(E)=8C1×3C1×9C120C3=8×3×920C3=1895
 

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