Home
Class 12
MATHS
Given that x in [0,1] and y in [0,1]. Le...

Given that `x in [0,1]` and `y in [0,1]`. Let `A` be the event of selecting a point `(x,y)` satisfying `y^(2) ge x` and `B` be the event selecting a point `(x,y)` satisfying `x^(2) ge y`, then

A

`P(AcapB)=(1)/(3)`

B

A and B are exhuastive

C

A and B are mutually

D

A and B are independent

Text Solution

Verified by Experts

The correct Answer is:
(b,c,d)
Promotional Banner

Similar Questions

Explore conceptually related problems

y+8 ge 2x

2x+y ge 6

x ge 3, y ge 2

If x and y are positive acute angles such that (x+y) and (x-y) satisfy the equation tan^(2) theta - 4 tan theta +1=0 , then

The area of the region bounded by {(x,y) : y^2 ge 2x and x^2 +y^2 le 4x , x ge 0 , y ge 0} is ….Sq. units.

The solution set of the constraints 2x+3y le 6, 5x+3y le 15" and "x ge 0, y ge 0 does not include ……. point.

The solution set of the constraints 2x+3y le 6, x+4y le 4" and "x ge 0, y ge 0 includes the point ………. As corner point.

The point of intersecting of the line passing through (0, 0, 1) and intersecting the lines x+2y+z=1, -x+y-2z=2 and x+y=2, x+z=2 with xy-plane is

Let (x, y) be such that sin^-1 (ax) + cos^-1 (y)+ cos^-1 (bxy)=pi/2 If a=1 and b=0 , then (x,y)

For linear programming x+2y ge 10, 3x+4y le 24" and "x ge 0, y ge 0 ……… is not the corner point of feasible region.