Probability inequality : Is the following always true?

[michonamona]

Homework Statement

P(AUB) <= P(A) + P(B)

Homework Equations

The Attempt at a Solution

I can't understand the intuition behind this property. It's not a homework assignment, it was just something that came up in class.

Thanks,
M

 

[JonF]

Go back to the definition, how was P(A) defined for you.

 

[statdad]

Have you covered the Addition Rule yet? If so, compare what you wish to show to that.