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If x+y+z = 9; then what is the probability of having x = y = z = 3 (x, y, z are positive integers)

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If x+y+z = 9; then what is the probability of having x = y = z = 3 (x, y, z are positive integers)
posted May 29, 2015 by anonymous

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2 Answers

0 votes

Total number of cases will be ::

x + y = z = 6 { x>=0 ,y>=0 ,z>=0 }

(6+3-1)
C (3-1) =====

8
C =================28
2

hence the probaility of x=y=z=3 is 1/28

answer May 29, 2015 by Ankit Kamboj
0 votes

Since there are 28 options available and only one is favourable
Therefore Probability = 1/28

answer Nov 15, 2015 by Naveen Chopra



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