# Win A Dollar

1. Dec 23, 2004

### T@P

Win A Dollar!!!

I have a penny, a dime and a dollar (coin)
you are allowed to make 1 statement. if it is true, i will give you A coin. if it is false, you get laughed at and no coin. what do you say to me to get the dollar?

2. Dec 23, 2004

### Rogerio

Select to see
I won't win neither a penny nor a dime... :-)

3. Dec 23, 2004

### T@P

wait, but what if your statement is false? then you get nothing... im not sure thats right...

4. Dec 23, 2004

### BobG

Tough Luck Rogerio, however .....
You will win neither a penny nor a dime
Thwarted by the Boolean grammer police.

Last edited: Dec 23, 2004
5. Dec 23, 2004

### Rogerio

If my statment is false?
Then I would get nothing...

...and, in this case, are you really sure my statement would be false???

Think a little bit more, and tell me your conclusion...:-)

Last edited: Dec 23, 2004
6. Dec 23, 2004

### T@P

thanks rogerio, i get it now :)

also BobG, is the "you" supposed to be an "i"? anyway thanks for the post

7. Dec 23, 2004

### Rogerio

Where can I collect my dollar? :tongue2:

8. Dec 23, 2004

### T@P

you'll get the dollar if (and only if ;) you supply the dollar, dime, and penny first and then make your statement :)

9. Dec 23, 2004

### BobG

Looking at it analytically, if you said "I will win neither a penny or a dime", you could express this in the following equation:

$$\overline {P} + \overline {D}$$

Changing the word 'will' to 'won't', you get:

$$\overline{\overline {P} + \overline {D}}$$

which is equivalent to:

$$P + D$$

or the statement "I will win a penny or a dime."

I think what you meant to say is:

"I definitely will be unsuccessful in not being unvictorious in my quest not to win neither a not dime nor a penny knot unless I am not able to not guess incorrectly."

Or something like that if I'm not totally incorrect in my lack of thinking.

10. Dec 23, 2004

### Rogerio

Sorry, but "I won't win neither a penny nor a dime" means
"I won't win a penny" AND "I won't win a dime" .

11. Dec 23, 2004

### Bartholomew

"If this statement is true, you will give me the dollar."

Assume the statement is false. So the precedent is false so the statement is true. So (by contradiction) the statement is not false, so it is true. And since it is true, you will give me the dollar.

Last edited: Dec 23, 2004
12. Jan 1, 2005

### vikasj007

i'll get a dolar or nothing.

13. Jan 3, 2005

### Galileo

"You will give me neither the penny, no the dime, nor the dollar, nor a million dollars."

If Im right, youll have to give me a coin, contrary to my statement being true. So it has to be false.
That means you will give me one of the coins or a million dollars.
Since you can't give one of the coins for a false statement, you will give me a million dollars.

So cough it up! :!!)

14. Jan 3, 2005