Silliness Quiz - Page 342

Stitchawl · 01-04-2012, 12:37 AM

[QUOTE=Stitchawl;1908684]

Quote:

Originally Posted by HomeInMyShoes

Bump. Looking for a new question.

OK... We've all heard the expression 'as old as the hills,' right?

Well, how about naming the YOUNGEST mountain range in the world!

Stitchawl

Quote:

Originally Posted by SneakySnake

There are some underwater mountains in The Solomons that grow everyday?
But i don't remember what they are called. Do they count?

No... I'm looking for a baby mountain range that is completely above the water level.

Some famous somebody said that they believed that the island of Guam was going to flip over because of all the building that was going on in the western side of the island. The poor guy didn't realize that Guam is the exposed tip of a huge undersea mountain, not some pancake floating in the ocean!

Todd Young · 01-04-2012, 12:42 AM

I don't know about a baby mountain range, but the island of Krakatoa has been reforming since the 1883 eruption.

Stitchawl · 01-04-2012, 03:44 AM

Quote:

Originally Posted by Todd Young

I don't know about a baby mountain range, but the island of Krakatoa has been reforming since the 1883 eruption.

Thanks, Todd. If we were looking for chain of baby volcanic islands that would work. Unfortunately... we are looking for a baby MOUNTAIN range. Try again.

Stitchawl

pdurrant · 01-04-2012, 03:59 AM

Quote:

Originally Posted by Stitchawl

OK... We've all heard the expression 'as old as the hills,' right?

Well, how about naming the YOUNGEST mountain range in the world!

Himalayas. Still being uplifted as India ploughs into the Eurasian continent.

Stitchawl · 01-04-2012, 04:43 AM

Quote:

Originally Posted by pdurrant

Himalayas. Still being uplifted as India ploughs into the Eurasian continent.

Tis the truth! Mighty Everest is just a wee babe... Some ranges, such as the Appalachian in eastern US have been taller than Everest is now THREE times in geological history, worn down by wind and water, and pressed up again. Grandfathers of the mountains, yet not the oldest!

Give us a question, if you please, Paul!

Stitchawl

pdurrant · 01-04-2012, 10:01 AM

Hmmm... OK. Here's a probability question.

I deal out four cards face down from a shuffled standard deck of 52 cards.

My friend looks at them (without showing me), and tells me that if I turn over any two of them, I have a 50% chance of getting two red cards.

What are my chances of turning over two of the cards and getting two black cards?

(You may assume that my friend is both truthful and good at probability calculations.)

HomeInMyShoes · 01-04-2012, 10:13 AM

0%.

There's three red cards and one black card. So how can one verify this?

In order to figure out the probability of drawing two red cards from those four cards (3 red and 1 black) it is:

Probability of drawing a red card on the first pick = 3/4 or 75%
Probability of drawing a red card on the second pick = 2/3 or 67%

75% * 67% = 50%

It seems odd, but it is often easier to think about the combinations involved.

We have R1, R2, R3, and B1 as the four cards (first red, second red, third red, and first black). You could draw two cards from this set in 12 different ways:

R1 R2
R1 R3
R1 B1
R2 R1
R2 R3
R2 B1
R3 R1
R3 R2
R3 B1
B1 R1
B1 R2
B1 R3

Take out all the ones without two reds and you're left with;
R1 R2
R1 R3
R2 R1
R2 R3
R3 R1
R3 R2

Or six different combinations from the twelve. A 50% chance.

maianhvk · 01-04-2012, 11:01 AM

0%.

Well my way is no maths. Just... thinking and guessing, like this:

4C2 = 6 ways to draw 2 cards out of 4.

And given that the chance to draw 2 red cards is 50%, so there are 3 ways to draw 2 red cards out of 4.

Which means there must be 3 reds and 1 black, because if the number of reds is less than 3 it'll be impossible to draw 2 red cards in 3 different ways.

HomeInMyShoes · 01-04-2012, 12:31 PM

How is 4C2 no maths?

maianhvk · 01-04-2012, 12:49 PM

Quote:

Originally Posted by HomeInMyShoes

How is 4C2 no maths?

because you can google it

pdurrant · 01-04-2012, 12:50 PM

Quote:

Originally Posted by HomeInMyShoes

0%.

Yes, exactly right. Over to you for a question.

(& well done to maianhvk for getting it right too.)

HomeInMyShoes · 01-04-2012, 12:56 PM

@maianhvk: lol. I don't think being able to google something makes it not of it's subject matter.

Give me two examples of a pangram.

pdurrant · 01-04-2012, 12:57 PM

Pack my box with five dozen liquor jugs.
Sphinx of Black Quartz, judge my vow.

(Those are the two I always remember, apart from, of course, The quick brown fox jumps over the lazy dog.)

HomeInMyShoes · 01-04-2012, 01:00 PM

Quote:

Originally Posted by pdurrant

Pack my box with five dozen liquor jugs.
Sphinx of Black Quartz, judge my vow.

(Those are the two I always remember, apart from, of course, The quick brown fox jumps over the lazy dog.)

Winner.

I've always liked the "pack my box" one.

Next question?

pdurrant · 01-04-2012, 04:27 PM

OK, another mathematical one.

The sum of an infinite series of terms can converge (the more terms you calculate, the closer the total gets to a particular value), diverge to infinity (the more terms you calculate the larger the number gets) or do neither.

An example of a converging sequence is 1 + (1/2) + (1/4) + (1/8) + (1/16) + .... which converges to 2.

An example of a diverging sequence is 1 + 2 + 3 + 4 +.... which obviously diverges to infinity.

An example of a sequence that does neither is 1 + (-1) + 1 + (-1) + 1 + (-1) + ....

Does the sequence 1 + (1/2) + (1/3) + (1/4) + (1/5) + .... converge or diverge? (It plainly does one or the other.) Can you provide a proof of your answer?

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01-04-2012, 12:42 AM	#5117
Todd Young Addict Posts: 243 Karma: 1004164 Join Date: May 2011 Device: Kindle 2	I don't know about a baby mountain range, but the island of Krakatoa has been reforming since the 1883 eruption.

01-04-2012, 10:01 AM	#5121
pdurrant The Grand Mouse 高貴的老鼠 Posts: 74,218 Karma: 317184274 Join Date: Jul 2007 Location: Norfolk, England Device: Kindle Oasis	Hmmm... OK. Here's a probability question. I deal out four cards face down from a shuffled standard deck of 52 cards. My friend looks at them (without showing me), and tells me that if I turn over any two of them, I have a 50% chance of getting two red cards. What are my chances of turning over two of the cards and getting two black cards? (You may assume that my friend is both truthful and good at probability calculations.)

01-04-2012, 10:13 AM	#5122
HomeInMyShoes Grand Sorcerer Posts: 19,226 Karma: 67780237 Join Date: Jul 2011 Device: none	0%. There's three red cards and one black card. So how can one verify this? In order to figure out the probability of drawing two red cards from those four cards (3 red and 1 black) it is: Probability of drawing a red card on the first pick = 3/4 or 75% Probability of drawing a red card on the second pick = 2/3 or 67% 75% * 67% = 50% It seems odd, but it is often easier to think about the combinations involved. We have R1, R2, R3, and B1 as the four cards (first red, second red, third red, and first black). You could draw two cards from this set in 12 different ways: R1 R2 R1 R3 R1 B1 R2 R1 R2 R3 R2 B1 R3 R1 R3 R2 R3 B1 B1 R1 B1 R2 B1 R3 Take out all the ones without two reds and you're left with; R1 R2 R1 R3 R2 R1 R2 R3 R3 R1 R3 R2 Or six different combinations from the twelve. A 50% chance.

01-04-2012, 11:01 AM	#5123
maianhvk whimsical Posts: 2,779 Karma: 88193939 Join Date: Dec 2010 Location: in darkness Device: current: PPW 4. brick: K3 & Voyage.	0%. Well my way is no maths. Just... thinking and guessing, like this: 4C2 = 6 ways to draw 2 cards out of 4. And given that the chance to draw 2 red cards is 50%, so there are 3 ways to draw 2 red cards out of 4. Which means there must be 3 reds and 1 black, because if the number of reds is less than 3 it'll be impossible to draw 2 red cards in 3 different ways.

01-04-2012, 12:31 PM	#5124
HomeInMyShoes Grand Sorcerer Posts: 19,226 Karma: 67780237 Join Date: Jul 2011 Device: none	How is 4C2 no maths?

01-04-2012, 12:56 PM	#5127
HomeInMyShoes Grand Sorcerer Posts: 19,226 Karma: 67780237 Join Date: Jul 2011 Device: none	@maianhvk: lol. I don't think being able to google something makes it not of it's subject matter. Give me two examples of a pangram.

01-04-2012, 12:57 PM	#5128
pdurrant The Grand Mouse 高貴的老鼠 Posts: 74,218 Karma: 317184274 Join Date: Jul 2007 Location: Norfolk, England Device: Kindle Oasis	Pack my box with five dozen liquor jugs. Sphinx of Black Quartz, judge my vow. (Those are the two I always remember, apart from, of course, The quick brown fox jumps over the lazy dog.)

01-04-2012, 04:27 PM	#5130
pdurrant The Grand Mouse 高貴的老鼠 Posts: 74,218 Karma: 317184274 Join Date: Jul 2007 Location: Norfolk, England Device: Kindle Oasis	OK, another mathematical one. The sum of an infinite series of terms can converge (the more terms you calculate, the closer the total gets to a particular value), diverge to infinity (the more terms you calculate the larger the number gets) or do neither. An example of a converging sequence is 1 + (1/2) + (1/4) + (1/8) + (1/16) + .... which converges to 2. An example of a diverging sequence is 1 + 2 + 3 + 4 +.... which obviously diverges to infinity. An example of a sequence that does neither is 1 + (-1) + 1 + (-1) + 1 + (-1) + .... Does the sequence 1 + (1/2) + (1/3) + (1/4) + (1/5) + .... converge or diverge? (It plainly does one or the other.) Can you provide a proof of your answer?