Brainteasers!

Anyone have some brainteasers to post? I have lots, and lots, and lots.

Iris's Brainteasers
1. What is the probability that the difference between two randomly chosen single-digit numbers is greater than 5?

Spoiler:

2. One of the following letter combinations does not belong. Which one is it?
Eu, Sm, Pr, Ho, Hg, Yb, Ce

Spoiler:

3. What words/phrases are depicted below?

Spoiler:

4. Suppose you are on a boat in the middle of a lake. On the boat, you have a very heavy lead anchor. If you were to drop the anchor into the lake, would the water level rise, fall, or stay the same? Why?

5. A contest is fixed. Everyone knows it, including the contestants. One of the contestants, however, makes it to the final playoff level.

Spoiler:

The master of ceremonies presents the following challenge: "This box contains two slips of paper. One slip has the word 'winner' printed on it, the other has the word 'loser.' Your task is to select the winning slip - without looking of course."

The contestant knows that this challenge is fixed. He realizes that both slips have the word 'loser.' How can he select one slip and win the challenge? By the way, the contestant can't declare this contest is a fraud or he'd lose his current winnings.

Amy's Brainteaser's
1. What occurs once in every minute, twice in every moment, yet never in a thousand years?

Spoiler:

2. If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?

Spoiler:

3. Imagine there are 3 coins on the table. Gold, silver and copper. If you say a truthful sentence, you will get one coin. If you say a false sentence, you get nothing. Which sentence can guarantee gaining the gold coin?

4. Three goddesses were sitting in an old Indian temple. Their names were Truth (always true), Lie (always lying) and Wisdom (sometimes lying). There was the following conversation:
Asking the left one: "Who is sitting next to you?"
"Truth," she answered.
Asking the middle one: "Who are you?"
"Wisdom."
And at last question for the right one: "Who is your neighbor?"
"Lie," she replied.
Now it is clear who is who.

5. A man finds a coin that says 46 BC. Do you believe him?

Spoiler:

6. On any coin of the United States of America, there are two four-word phrases. One is "In God we trust". What is the other?

I'll post the solution when someone gets them.

I don't get any of them, because I'm not smart like you. xD

Though I do know the second one.

*spoiler*

Spoiler:

EDIT: OH DUH. The first one says SINGLE digit. I thought it said of all numbers. xDD

I don't know the answer but...

Spoiler:

First one:

Spoiler:

Second one:

Spoiler:

I'll wait till someone gets the 3rd one 'fore posting the solution.

EDIT: I felt like adding more.
1. Suppose you are on a boat in the middle of a lake. On the boat, you have a very heavy lead anchor. If you were to drop the anchor into the lake, would the water level rise, fall, or stay the same? Why?

2. A contest is fixed. Everyone knows it, including the contestants. One of the contestants, however, makes it to the final playoff level.

The master of ceremonies presents the following challenge: "This box contains two slips of paper. One slip has the word 'winner' printed on it, the other has the word 'loser.' Your task is to select the winning slip - without looking of course."

The contestant knows that this challenge is fixed. He realizes that both slips have the word 'loser.' How can he select one slip and win the challenge? By the way, the contestant can't declare this contest is a fraud or he'd lose his current winnings.

One?

Spoiler:

The other one I'm stuck on. :l

One:

Spoiler:

Oh wow. Confusing.

I have a brainteaser, but let me find it. xD It's a simple one.

You should edit the first post with all the brainteasers. And answers if their answered.

Yep. Should. *edits*

A few simple ones.

1. What occurs once in every minute, twice in every moment, yet never in a thousand years?

2. If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?

3. Imagine there are 3 coins on the table. Gold, silver and copper. If you say a truthful sentence, you will get one coin. If you say a false sentence, you get nothing. Which sentence can guarantee gaining the gold coin?

4. Three goddesses were sitting in an old Indian temple. Their names were Truth (always true), Lie (always lying) and Wisdom (sometimes lying). There was the following conversation:
Asking the left one: "Who is sitting next to you?"
"Truth," she answered.
Asking the middle one: "Who are you?"
"Wisdom."
And at last question for the right one: "Who is your neighbor?"
"Lie," she replied.
Now it is clear who is who.

OH YES LOGIC PROBLEMS.

*edits first post*
One:

Spoiler:

Two:

Spoiler:

I'll figure the last two out later. :-/

Yep. :]

The fourth one is actually really simple. I got it without looking at the answers.

I haven't even read it yet.

xD Whatever.

Edited your post with my answers.

Mmk. Thanks.

I don't feel like finding the other one. It's too hard to get it. :[

Mmk.

And I don't feel like solving those. xD

Erquay.

My brain isnt working.

Mine isn't either.

Hint on #3? XD

Say "THE's AFTER math." aloud. Then it might help...

Don't get it. xD

Psh. SRSLY. THINK. THE AFTER MATH. THE AFTER MATH. COME ON.

Why'd you put The's?

Well, I thought 'THE AFTER MATH' would be too obvious.