SOLUTION: True or False? And Why? If P(E U F) = P(E) + P(F), what can be concluded about P(E and F)? AND P(A U B) - P(B) = P(A)

Algebra ->  Probability-and-statistics -> SOLUTION: True or False? And Why? If P(E U F) = P(E) + P(F), what can be concluded about P(E and F)? AND P(A U B) - P(B) = P(A)      Log On


   

Question 729014: True or False? And Why?
If P(E U F) = P(E) + P(F), what can be concluded about P(E and F)?

AND

P(A U B) - P(B) = P(A)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If P(E U F) = P(E) + P(F), then P(E and F) must be zero since the more general formula is

P(E U F) = P(E) + P(F) - P(E and F)

The same applies to the second equation as well