by tommywallach Mon Aug 06, 2012 3:43 pm
PT 65, S4, Q26 (Identify the Flaw)
(E) is correct.
Identify the Flaw questions are always assumption based, so you should start by outlining the core. In this case, we have a premise, an intermediate conclusion, another intermediate conclusion, and a final conclusion. Luckily, they’re laid out in a pretty clear order:
Club recruited best players -> best team in the city -> team most likely to win the championship -> team will almost certainly be champions.
At first glance, this might seem like a pretty solid argument. But because the question is assumption-based, we know there must be a problem. Is the best team in a city almost certainly going to win? It can help to consider some numbers. Let’s imagine a city with 4 teams in it, one of which is most likely to win:
Team Likelihood of Winning Championship
A 40%
B 20%
C 20%
D 20%
So far, this fits with what we’ve been told. The probability that Team A will win the championship is 40%, twice the likelihood that any of the other individual teams will win. But what’s the probability that Team A will lose the championship? 60%! Team A is still more likely to lose than to win, in spite of the fact that they have the best odds of the bunch! This is the flaw we’re looking for.
(A) The argument says that the club is the best because it has the best players, not because it will do well in competition (that comes later in the argument).
(B) The skill of the players seems eminently relevant to the team’s future success.
(C) This is a very tricky answer choice. The argument does compare the parties, and concludes that the club in question is the "best team in the city." However, it doesn’t then jump straight to the conclusion: "so they will win." Instead, it uses the fact that they are the best team to conclude that they there are the team "most likely to win the championship." This is only a kind of interim conclusion, and it is the only conclusion the argument draws from the direct comparison between the teams. From this interim conclusion, the argument goes on to predict the outcome of the competition. (Also, notice that this answer choice doesn’t actually sound like a mistake at all. Is it really a bad idea to try to predict who will win a competition by comparing the parties in the competition? We’re looking for a flaw!).
(D) The argument starts by stating as fact that the individual players are the best in the city. This is not a conclusion it tries to make, but a premise it uses to make its final conclusion.
(E) This bears directly on the statistical anomaly we discovered above. Just because a given outcome is the most likely outcome out of many different outcomes, that doesn’t actually mean the outcome is more likely to occur than not (i.e. over 50%). You’re more likely to find $1000 on the ground than to win the lottery, but neither outcome is particularly likely.