A board has 16 squares as shown in the figure : Out of these 16 squares, two squares are c…

Question

A board has 16 squares as shown in the figure :

Out of these 16 squares, two squares are chosen at random. The probability that they have no side in common is :

Accepted Answer

Total ways for selecting any two squares $={}^{16}{C}_{2}=120$

Total ways for selecting common side squares

$\begin{gathered} =24 \ \ =1-\frac{24}{120} \ =\frac{4}{5} \end{gathered}$

Solutions · 1