5. if a point is pick at random, what is the probability that it will be in the shaded section. type a…

Explanation:

Step1: Count total squares

The large square is composed of $10\times10 = 100$ small - squares.

Step2: Count un - shaded squares

The four un - shaded regions are $3\times3$ squares each. There are 4 such regions, so the number of un - shaded squares is $4\times(3\times3)=36$.

Step3: Calculate shaded squares

The number of shaded squares is $100 - 36=64$.

Step4: Calculate probability

The probability $P$ that a randomly chosen point is in the shaded section is the ratio of the number of shaded squares to the total number of squares. So $P=\frac{64}{100}=\frac{16}{25}$.

Answer:

$\frac{16}{25}$