Hi Annah,
You're absolutely correct in that there are elements of conditional reasoning here. However, the flaw has nothing to do with them. Let me explain:
The only premise for the author's conclusion is the analysis revealing that the team has lost (i.e. not won) only when Jennifer was not playing:
Premise: NOT win NO Jennifer
By the contrapositive, we can conclude that whenever Jennifer played, the team won:
Contrapositive/Conclusion: Jennifer Win
The contrapositive is consistent with the conclusion of the argument, and - since the contrapositive is a logically valid way of drawing an inferential conclusion - the argument is not flawed from a conditional reasoning standpoint. However, as Kelsey explained, the flaw is temporal: although the team may have won every time Jennifer was playing, we cannot extrapolate a similar outcome in the future. This is precisely what the author did, arguing that Jennifer's presence
will ensure that the Eagles
will win. This is why answer choice (D) is correct.
Notice that answer choice (A) describes precisely the operative function of a contrapositive: indeed, if a certain factor (A) is sufficient for a result (B), the absence of that factor (NOT A) is necessary for the opposite result (NOT B):
Premise: A
B
Conclusion: NOT B
NOT A
As discussed earlier, this is not a logical flaw, making answer choice (A) incorrect.
Let me know if this clears things up