Question

What is the probability that a point chosen at random in the given figure will be inside the smaller square?

Answer 1

The probability of randomly selecting the smaller square in 9/25.

Answer 2

Answer: $\dfrac{9}{25}$

Step-by-step explanation:

The area of a square is given by :-

$\text{Area}=\text{(side)}^2$

Given: The side length of the smaller square = 3 cm

Then the area of smaller square :-

$\text{Area}=\text{(3}^2=9\ cm^2$

The side length of the larger square = 5 cm

Then the area of larger square :-

$\text{Area}=\text{(5)}^2=25\ cm^2$

Now, the probability that a point chosen at random in the given figure will be inside the smaller square is given by :-

$\text{P(smaller square)}=\dfrac{\text{Area of smaller square}}{\text{Area of larger square}}\\\\\Rightarrow\ \text{P(smaller square)}=\dfrac{9}{25}$