Give examples of events to show that these bounds cannot be improved (SEE ATTACHED).© BrainMass Inc. brainmass.com March 4, 2021, 6:09 pm ad1c9bdddf
We know that P(AUB) = P(A) + P(B) - P(A intersection B)
Or P(AUB) = 1/2 + 1/3 - P(A intersection B)
Or P(AUB) = 5/6 - P(A intersection B)
But P(AUB) >= 1/2
The best constant bounds are found.