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Q. Three boxes are labelled as $X, Y, Z$ and each box contains 5 balls numbered $1,2,3,4,5$. The balls in each box are well mixed. One ball is chosen at random from each of the three boxes $X , Y , Z$ respectively. If $\alpha, \beta, \gamma$ are the numbers on the balls chosen, then the probability that $\alpha=\beta+\gamma$ is equal to $\frac{K}{25}$ then $K$ is equal to

Probability

Solution:

Correct answer is '2'