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 $A _ { i }$ has an equal chance of being chosen. Two distinct points are chosen randomly out of the points $A _ { 1 } , A _ { 2 } , \ldots , A _ { 49 }$. Let $p$ be the probability that they are friends. Then the value of $7p$ is
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 $A _ { i }$ has an equal chance of being chosen.
Two distinct points are chosen randomly out of the points $A _ { 1 } , A _ { 2 } , \ldots , A _ { 49 }$. Let $p$ be the probability that they are friends. Then the value of $7p$ is