Probability
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Consider the6 × 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.
Consider the
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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
[JEE Adv 2023 P2]
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