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