PARAGRAPH "I" Consider an obtuse angled triangle ABC in which the difference between the largest and the smallest angle is $\frac{\pi}{2}$ and whose sides are in arithmetic progression. Suppose that the vertices of this triangle lie on a circle of radius 1 . (There are two questions based on PARAGRAPH "I", the question given below is one of them)

PARAGRAPH "II" Consider the $6 \times 6$ square in the figure. Let $A_1, A_2, \ldots . . A_{49}$ be the points of intersections (dots in the picture) in some order. We say that $A_i$ and $A_j$ are friends if they are adjacent along a row or along a column. Assume that each point $\mathrm{A}_{\mathrm{i}}$ has an equal chance of being chosen.


(There are two questions based on PARAGRAPH “II”, the question given below is one of them)
Let $p_i$ be the probability that a randomly chosen point has $i$ many friends, $i=0,1,2,3,4$. Let $X$ be a random variable such that for $i=0,1,2,3,4$, the probability $P(X=j)=p_1$. Then the value of $7 E(X)$ is