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2. Suppose A and B are two events. Use the axioms of probability to prove the following (a) P(AnB) 2 P(A) P(B) 1 (b) Show that the probability that one and only one of the events A or B occurs is P(A)+ P(B) -2P(AnB). 3. There are 9 lights labeled 1 to 9, and they are lined up in a row in Boelter Hall. or budget reasons, we are going to turn off 3 of them. For security purposes, we cant turn off 2 lights that are next to each other or 3 lights in a row, and we cant turn off the first and the last lights in the row. How many ways are there to turn off 3 liahte
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Answer #1

2) Gowen, both sdarJ u nienoad to tind tha chaded osaa whiuh denstes Now, Probability that one and ondul eve ot A t 6 oc wchs

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