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In: Advanced Math

2. Drinking Warm Beer We put 10 bottles of Molson Export and 3 bottles of Labatt...

2. Drinking Warm Beer

We put 10 bottles of Molson Export and 3 bottles of Labatt 50 into the trunk of our black car on a hot summer day. We reach into the the cooler, pull out a random bottle b1 and drink it. Then we reach into the cooler, pull out a second bottle b2 and drink it.

  1. Describe the sample space S for this experiment.
  2. For each outcome ωS, determine Pr(ω).
  3. Let A be the event "b1 is a bottle of Molson Export" and let B be the event "b2 is a bottle of Labatt 50". Determine Pr(A) and Pr(B).
  4. Are the events A and B independent? In other words, is Pr(AB)=Pr(A)?

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