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2. Feeding Your Rat A rat feeder is essentially a straw whose diameter is just large enough for 1 (medicine) pill or 1 (food) pellet, but is long enough to hold many pills and pellets. The pill and pellets are put in at one of the feeder and come out the other end (when the rat presses a pedal) in the same order they were put in. Suppose we place 25 identical pellets and 4 identical pills uniforaly at random into a rat feeder. The rat then comes and consumes one item I1 from the feeder and then consumes another item T2 from the feeder. 1. Let A be the event "I1 is a pellet" and let B be the event II is a pill'. 2. that is Pr(AnB)? 3. What is Pr(AuB)? 4. Are the events A and B independent? In other words, is Pr(AnB) = Pr(A)-Pr(B)? -

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