Coffee has never been this important

Level pending

A girl that I like has agreed to meet me for coffee. However, the Starbucks that she suggested we meet at is at an intersection with a Starbucks on two of its corners. I text her, asking which one she was in. She responds, saying "I will go out with you if you come to the correct Starbucks." Unfortunately, the Starbucks I enter is not the one she is in. Should I be disheartened, knowing that there is no chance that the girl will not go out with me?

Details and Assumptions \textbf{Details and Assumptions}

The girl always tells the truth.

No Not enough information COFFEE COFFEE COFFEE Yes

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4 solutions

Eladrin Wizard
Mar 19, 2014

If you are inside the other Starbucks, she will not know you are in there and therefore, you can go to the other one.

Trevor B.
Mar 19, 2014

Let's rewrite the conditional statement and look at some other statements.

Conditional: If you come to the correct Starbucks, then I will go out with you.

When you have a conditional statement A B , A\rightarrow B, then the only thing you can guarantee to be true is the contrapositive, B A . \sim B\rightarrow \sim A. Taking the contrapositive of the conditional statement (and rewriting to make sense), we can conclude this: If I do not go out with you, then you will not have come to the correct Starbucks. This is ALL that we can guarantee that is true.

The converse of a statement, B A , B\rightarrow A, and the inverse of a statement, A B , \sim A\rightarrow\sim B, are not necessarily true. Look at the inverse of the conditional: If you do not come to the correct Starbucks, then I will not go out with you. This is what the question is asking for; is this statement true or not? The answer is that we are not sure, so I should not think that I lost my chance.

Anon Omous
Mar 25, 2014

I didn't quite understand what Trevor said (I am a level 1 after all) but my reasoning was the lack actual failure. When she said "if you come the the correct one." there is nothing to say you only had 1 guess. there is also no time limit. So it's pretty obvious so long as the guy is strong willed enough to try a second time he is absolutely going to get that date.

I will also mention there is a confusing double negative in the last line. "Should I be disheartened, knowing that there is NO chance that the girl will NOT go out with me?" if this is intentional then the answer is even more clear, assuming he wanted that date, there is no reason to be disheartened because he got what he wanted.

Hemanth Saji
Mar 27, 2014

"Should I be disheartened, knowing that there is NO chance that the girl will NOT go out with me?" we can find answer from this this sentence (read sentence stressing NO & NOT if you didn't get it yet)............ OR in other way she won't not know which STARBUCKS he entered first. So i assume answer is "NO". AFTER-ALL THIS PROBLEM HAS MULTIPLE OUTCOMES...........

simple... its a sore loser crying.. man she wouldn't go out with you anyway.. she wasn't in the other starbucks either

Salman Dar - 7 years, 2 months ago

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