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A bag contains 10 balls, out of which 2 are white, 5 are red and 3 are black balls. If three are drawn at random, then the probability that two balls are of same colour is

A bag contains 10 balls, out of which 2 are white, 5 are red and 3 are black balls. If three are drawn at random, then the probability that two balls are of same colour is

 

Grade:12

2 Answers

Arun
25763 Points
one year ago
 
Dear student
 
ways of drawing three balls out of which 2 balls are same = 
 = 2c2 *8c1 + 5c2 * 5c1 + 3c2 * 7c1 = 8 + 50 + 21 = 79
 
hence probability = 79/10c3 = 79/120
 
Hope it helps
Vikas TU
14149 Points
one year ago
Dear student 
Please follow this link for generalised solutin of such types of problems 
Hope this will help 
Good Luck 

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