Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeneral (Event SS, Definitions, Odd against/Favour)Easy2 minPYQ_2025

MathematicsEasysingle choice

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 :

Options:

Answer:

Solution:

$Total =^{16} C_{2} Required ways = Total - (adjacent square) =^{16} C_{2} - [3 pair in vertical & horizontal for each row and column] =^{16} C_{2} - [3 \times 4 + 3 \times 4] = 96 Probability = \frac{96}{120} = \frac{4}{5}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:General (Event SS, Definitions, Odd against/Favour)

⏱ 2mℹ️ Source: PYQ_2025

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