arjtryarjtry wrote:

Set T consists of all points (x, y) such that x^2 + y^2 = 1. If point (a, b) is selected from set T at random, what is the probability that b> a + 1 ?

1/4

1/3

1/2

3/5

2/3

1/4

x^2 + y^2 = 1 describes a circle with radius 1 centered at (0,0).

Split the circle into fourths using the coordinate plane's quadrants

Quadrant 1:

a and b are positive

Here, b < a + 1

Quadrant 2:

a is negative and b is positive

Here b > a + 1

Quadrant 3:

a is negative and b is negative

Here b < a+1

Quadrant 4:

a is positive and b is negative

Here b < a + 1