I've never had a bottle that was "barely corked". I've had some funk up front that blew off, but never was it a TCA smell.
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Originally Posted by patrickBOOTH
Step 1: find the number of events. Here, we have two distinct events: two bottles, what are the odds that the first bottle is corked and the second bottle is also corked.
Step 2: What are the odds of each event? 7/100, or 7%, we are given this by Wine Spectator.
Step 3: is it "and" or is it "or". That is, are we figuring out the odds of bottle 1 "and" bottle 2 being corked, or the odds of 1 "or" 2 being corked. In this example, it's the former.
Step 4: if it's an "and" probability, we multiply the odds of the events together. If it's "or" we add the odds of each even together.
7/100 * 7/100 = 49/10,000. This is the answer, but it's a clumsy answer as we can't really reduce this as is. Bump up 49 to 50 (as the GMAT would ask for "roughly the odds") and we have 50/10,000, which can be reduced to 5/1,000, and finally 1/200.