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Consider the 6 xx 6 square in the figure...

Consider the `6 xx 6` square in the figure. Let `A_1,A_2, . . .,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 `A_i` has an equal chance of being chosen

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=i)=p_i`. Then the value of `7 E (X)` is

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JEE ADVANCED PREVIOUS YEAR-JEE ADVANCED 2023-Question
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