Independent and dependent events exercises 1-4 please. Let A and B be events ...

We don't cover mutually exclusive events much in this class. Just consider the example of rolling a fair die. Let A be "roll an odd number" and let B be "roll a 4". The events A and B are not just dependent but mutually exclusive as well. The chances of rolling a 4 drop from 1/6 down to 0 if you know you rolled an odd number! Finally, there is a useful formula you should have seen in Section 5.5. Formula 56. Let A and B be events. Then P(A U B) = P(A) + P(B) - P(An B). The reason you subtract P(An B) in Formula 56 is so you don't double- count the probability of the overlap of A and B occurring. 5.8 Independent and Dependent Events: Exercises As always, you must FULLY justify your answer. If you are multiplying two things together, it is important to explain why. Often times, your justification will come from the formulas above. ginous to In Exercises 1 to 4, suppose you have ten slips of paper, respectively numbered 1 through 10. You put all the paper slips into a bag and randomly draw one slip of paper. In Exercises 1 to 3, let A be the event you draw an even number. 1. Let B be the event you draw a six. Daniel J. Geiger