Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeneral (Event SS, Definitions, Odd against/Favour)Medium2 minQB

MathematicsMediuminteger

Two squares are chosen at random on a chess board. If the chance that may have a contact at corner is $\frac{μ}{144}$ then $μ$ should be equal to

Answer:

Solution:

Total cases of choosing two squares on a chess board $= 64 \times 63$

Favourable cases $= 4 \times 1 ($ corners $) + 24 \times 2 + 36 \times 4 = 4 \times 49$

Required probability $= \frac{4 \times 49}{64 \times 63} = \frac{7}{144}$ $\Rightarrow μ = 7$

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

⏱ 2mℹ️ Source: QB

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