Question

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

Answer 1

Answer: 2

Correct answer is (b)