Probability inequality : Is the following always true?

michonamona
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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
 
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Go back to the definition, how was P(A) defined for you.
 
Have you covered the Addition Rule yet? If so, compare what you wish to show to that.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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