Login/Sign Up
Home » Suppose you drop a tie at random on the rectangular region shown in fig. below. What is the probability that it will land inside the circle with diameter ?
Suppose you drop a tie at random on the rectangular region shown in fig. below. What is the probability that it will land inside the circle with diameter 1m?
CBSE | Class 10 | Exercise 13.2 | Maths | Probability | RD Sharma
Suppose you drop a tie at random on the rectangular region shown in fig. below. What is the probability that it will land inside the circle with diameter 1m?

Formula of getting the probability is probability= number of favorable outcomes/ total number of outcomes.

So, area of a circle with radius 0.5m A circle ={{\left( 0.5 \right)}^{2}}=0.25\pi {{m}^{2}}

Area of rectangle =3\times 2=6{{m}^{2}}

Probability= measure of specified region part/ measure of whole region

The probability that tie will land inside the circle with diameter 1m

= area of circle/ area of rectangle

=\frac{0.25\pi {{m}^{2}}}{6{{m}^{2}}}

=\frac{\pi }{24}

Therefore, the probability that the tie will land inside the circle =\pi /24

i

More Material