Question

A point is chosen at random on the coordinate plane such that both of its coordinates are between 0 and 2. What is the probability that the point is less than 1 unit from the origin?

Answer 1

the answer is definitely 67.3%

Answer 2

pi/16

Explanation:

draw a 2 by 2 grid to choose a point.

The grid's area is 4, right? Draw a quarter of a circle in the graph.

Any point less than one on there is going to be your answers.

The area of the circle is pi/4. But we want less than 1 not 2.

So we divide by four again to get pi/16.

Hope this helps :)