## Saturday, November 25, 2017

### Three Coin Flips

The following game has a $10 entry fee. You are to flip a fair coin three times. The first time it comes up heads you are paid$5. The second time it comes up heads you're paid an additional $7. The third time it comes up heads you're paid$9 more, for a possible maximum prize of $21. Would you pay the$10 entry fee to play?

If not, what would be a fair price for this game? Click below for the answer.

## Saturday, November 18, 2017

### One equals 0.999...

The following is a mathematical proof that 1 is equal to 0.999.... What's wrong with it? Click below for the answer.
$x = 0.999...$
$10x = 9.999...$
$10x = 9 + 0.999...$
$10x = 9 + x$
$9x = 9$
$x = 1$

## Saturday, November 11, 2017

### Two equals one?

The following is a mathematical proof that two equals one. What's wrong with it? Click below for the answer.
$a = b$
$aa = ab$
$aa - bb = ab - bb$
$(a + b)(a - b) = b(a - b)$
$a + b = b$
$a + a = a$
$2a = a$
$2 = 1$

## Saturday, November 4, 2017

### State Names

There's only one letter in the English alphabet that is not used in the name of any of the 50 United States. Do you know which letter it is? Click below for the answer.