A target is made of a blue square inside of a red square. The blue square has an area of 64 square units, and the red square has an area of 196 square units.
Assuming it hits the target, what is the probability that a dart will land in the blue region?
The probability of landing in the blue region is equal to the ratio of the area of the blue square to the area of the red square.
The area of the blue square is given as 64 square units, and the area of the red square is given as 196 square units.
Therefore, the probability of landing in the blue region is:
P(landing in blue region) = Area of blue square / Area of red square
= 64/196
= 0.3265
So the probability that a dart will land in the blue region is approximately 0.3265, or about 32.65%.