Question

# Two small squares on a chess board are chosen at random. Probability that they have a common side is

A
13
B
19
C
118
D
None of these

Solution

## The correct option is C $$\displaystyle \frac { 1 }{ 18 }$$There are $$64$$ small squares on a chess board.$$\Rightarrow$$ Total number of ways to choose two squares $$=_{ }^{ 64 }{ { C }_{ 2 } }=32\times 63$$For favorable ways we must choose two consecutive small squares for any row or any column$$\Rightarrow$$ number of favorable ways $$=(7\times 8)2$$$$\Rightarrow$$ Required probability $$\displaystyle =\frac { 7\times 8\times 2 }{ 32\times 63 } =\frac { 1 }{ 18 }$$Maths

Suggest Corrections

0

Similar questions
View More

People also searched for
View More