Let the mean and variance of 7 observations 2, 4, 10, x, 12, 14, y, x>y, be 8 and 16 respectively. Two numbers are chosen from {1,2,3, x-4, y, 5} one…

Let the mean and variance of $\displaystyle 7$ observations $\displaystyle 2$, $\displaystyle 4$, $\displaystyle 10$, $\displaystyle x$, $\displaystyle 12$, $\displaystyle 14$, $\displaystyle y$, $\displaystyle x>y$, be $\displaystyle 8$ and $\displaystyle 16$ respectively. Two numbers are chosen from $\displaystyle \{1,2,3, x-4, y, 5\}$ one after another without replacement, then the probability, that the smaller number among the two chosen numbers is less than $\displaystyle 4$ , is :