Answer 1

 Suppose you drop a tie at random on the rectangular region shown in figure

: Probability that it will land in inside the circle of diameter 1m Total area of circle with diameter 1 m

`"Area of circle with diameter 1m"=pi(1/2)^2`

                                          `=pi/4 m^2`

`"Area of reactangle" =3xx2` 

                               ` =6m^2`

`"We know that PROBABILITY" = "Number of favourable event"/"Total number of event"`

Hence probability that the tie will land in the circle is `pi/(4/6)=pi/24`