Find the probability that a dart hits the region X(inner circle) if the radius of the outer circle is $x$ times radius of the inner circle (x>2).

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{1}{x}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{1}{x^{3}}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{1}{x^{2}}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
$\frac{1}{x^{2}}$

Let the radius of innermost circle = y

$\Rightarrow$ radius of outermost circle = $y x$

Probability that a dart hits region X = $\frac{Area (innermost circle)}{Area (outermost circle)} = \frac{π . y^{2}}{π . y^{2} x^{2}} \Rightarrow \frac{1}{x^{2}}$

Suggest Corrections

Similar questions

Find the probability that a dart hits the region X(inner circle) if the radius of the outer circle is $x$ times the radius of the inner circle.

Q. If the radius of outer circle is x times radius of inner circle, then the probability that a dart hits the inner circle is

\frac{1}{x^{2}}

Find the probability that a dart hits the region X(inner circle) if the radius of the outer circle is $x$ times radius of the inner circle (x>2).

In a circular dartboard of radius 20 cm, there are 5 concentric circles. the radius of each inner concentric circle is 4 cm less than the outer concentric circle. Find the probability that a dart hits anywhere in the smallest circle assuming that the dart doesn't hit on the boundary of any circle.

Join BYJU'S Learning Program

Find the probability that a dart hits the region X(inner circle) if the radius of the outer circle is x times radius of the inner circle (x>2).

The correct option is D 1x2 Let the radius of innermost circle = y ⇒radius of outermost circle = yx Probability that a dart hits region X = Area (innermost circle)Area (outermost circle)=π.y2π.y2x2⇒1x2

Find the probability that a dart hits the region X(inner circle) if the radius of the outer circle is $x$ times radius of the inner circle (x>2).

The correct option is D
$\frac{1}{x^{2}}$

Let the radius of innermost circle = y

$\Rightarrow$ radius of outermost circle = $y x$

Probability that a dart hits region X = $\frac{Area (innermost circle)}{Area (outermost circle)} = \frac{π . y^{2}}{π . y^{2} x^{2}} \Rightarrow \frac{1}{x^{2}}$