Pick a uniformly chosen random point inside a unit square (a square of sidelength 1) and draw a circle of radius 1/3 around the point. Find the probability that the circle lies entirely inside the square.

the probability is 4/9 (44,44%)

Step-by-step explanation:

Assuming that each point inside the square is equally probable, then the probability is uniformly distributed in area of the square. Thus

probability = area where condition is true / total area of the square

for a circle of radius 1/3  inside the square ,the area where this condition is satisfied is a square with sides 1-1/3 = 2/3 , thus

probability = (2/3)²/1² = 4/9

thus the probability is 4/9 (44,44%)

answer: y=0 if that is what u r looking for

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076