I handed this out yesterday to help you monitor your learning in this part of the course:
Today we learned about Mutually Exclusive (ME) and Non-Mutually Exclusive (NME) events. ME events can’t happen simultaneously; NME events can.
For example, suppose you’re drawing a card from a shuffled deck. Let be the event that you draw an ace, let be the event that you draw a face card, and let be the event that you draw a heart.
and are mutually exclusive – there are no aces that are face cards (and vice versa). But and are non-mutually exclusive, since drawing the Ace of Hearts would satisfy both events. Similarly, and are NME.
For probability, we can use the following relationship which we learned in set theory:
You have the following questions for practice: Page 340 #2-5, 7.