The worlds first riddle!

Mark:

BUCKINGHAM FOUNTAIN
5/9

The diagonals intersect the axes 1/3 of the way between 12:00 and 1:00. Inside the diagonal bar represents them meeting. The sum of the areas of the triangles is 4/9; so the diagonal is 5/9.


What the!!!.....



graph explanation:

Both axes represent time. The x-axis is time for the person x; the y-axis is time for person y.

Pick a point in the square. The x-coordinate is when person x arrives; the y-coordinate is when person y arrives. Using that point as the bottom left corner, create a smaller square that is 20 minutes by 20 minutes. If that smaller square intersects the line x=y (main diagonal of larger square), the people will meet.



It would appear Mark's answer does not take into account the direction of the wind, or Thoh's pronounced limp!


Let's check it out:-

There are four events that can happen.

1. Thoh arrives first and TTH meets him while he is waiting.
2. Thoh arrives first, leaves and then TTH shows up.
3. TTH arrives first and Thoh meets her while she is waiting.
4. TTH arrives first, leaves and then Thoh shows up.

Also there are 3 main time segments that different things can happen during. from 12:00 12:00-12:20, 12:20-12:40, 12:40-1:00.

There is a 1/3 chance of TTH showing up in any of these times.

If TTH shows up from 12:20-12:40
Then there are 20 minutes before and after TTH's arrival that Thoh could arrive and they would meet. So 40 minutes out of the hour that Thoh could arrive and they will meet. (40/60)

If TTH shows up between 12:00 and 12:20 there are 20 minutes after her arrival, and all the time between 12:00 and when she arrived. This time averages out to be 10 minutes (remember we are assuming she showed up between 12:00 and 12:20) So that's 30 minutes out of the hour that Thoh could show up and they would meet. (30/60)

From 12:40-1:00 you have a similar situation. There's twenty minutes before TTH's arrival that Thoh could have shown up. And all the time till 1:00, which again averages out to 10 minutes. So again 30 minutes out of the hour.
(30/60)

Each of those three are equally likely with 1/3 probability so
1/3(30/60 + 40/60 + 30/60)

1/3(5/3)

5/9


Their probability of meeting is 5/9. So Mark was right all along .
I can't wait to see the pictures.


VSHAORLTCIUTD = invalid shortcut


(TTH: ?'VALID SHORT CUT' )


Well done girly. But to be fair short cut was (in) valid, which makes it; INVALID


DRCRIAVECKWAGY = crack in driveway

Ha ha! That lasted six minutes. (I will have to check the other one).





Fast Mark is trying his hand at blackjack on a two deck table in Las Vegas.

The dealer rolls through 3 hands in which Mark counts 17 face cards and 29 non face cards.

On the fourth hand he sees 4 face cards and 9 non-face cards, of which he has a SEVEN and a FIVE and the dealer has an ACE showing.

What are the odds that Mark will bust if he takes one card

I thought of this yesterday in bed

You have a bunch of cups and a bunch of marbles. Your task is to fill 1 cup w/ 1 marble, 2 cups with 2 marbles each, 3 cups w/ 3 marbles each, etc, until 10 cups are filled w/ 10 marbles each.

How many cups are needed
How many marbles are needed

Now I accept I'm not the fastest coyote in the pack, but if I see an answer straight away, I probably have misread the question.
But what the heck is Thoh doing playing with his marbles in bed?


The x-axis is marbles; the y-axis is for cups:

Pick a point in the square. The x-coordinate is when marble x arrives; the y-coordinate is when cup y arrives. Using that point as the bottom left corner, create a smaller square that is 10 marbles by 10 marbles. If that smaller square intersects the line x=y you will have:


[size=7]100 cups and 550 marbles.[/size]




COARNSRWEECRT

These still need to be done

I have a problem with these 2

Any STPOOTRTM?
I knew something bugged me about it and that is why I choose the nap answer.

Any STPOOTRTM? You said the answer is Any port (in) (a) storm
Any.....PO ...RT in a
.......ST....OT...M ?
It seems like you are missing something? The other T should have been a R.


DRIVEWAY CRACK(IN)G?
Maybe I am tired or how does the "in" fit in with the G?


delicious in a big way?

One of the other two seems like something is missing. I will ask in another post since this one is getting so long.

I am editing this post to see what mark came up with.

Sorry mark I still didn't understand the probability answer. Thanks for trying though

Fair? Since when is that in the picture < they look cozy
Try I will print out your explanation of the meeting time and see if I understand. BTW thank you for the explanation in advance.
CORRECT ANSWER?

and thoh for the steal....

(in)correct answer

Try:
[size=8]incorrect answer[/size]

BLACKJACK
[size=8]It would help to know how many 10s have been played.[/size]

thoh13:
[size=8]55 cups (sum of first 10 positive integers)
385 marbles (sum of squares of first 10 positive integers)[/size]

cups

marbles...it works...but can you use any less?

I wondered if you had nesting in mind.

i did

Thoh oh how could you? You even told them you were thinking of marbles in bed? Well, now I know how I rate. btw our secret dates are fun, just don't tell anyone

Thinking of marbles in bed :wink: It was fun though, thoh
I had to write down your marble problem to come up with the answer.

Marbles:1+(2x2)+(3x3)+(4x4)+(5x5)+(6x6)+(7x7)+(8x8)+(9x9)+(10x10)=1+4+9+16+25+36+49+64+81+100=385

Cups:1+2+3+4+5+6+7+8+9+10=55

u edited it as i was quoting u!!!



well when u tell the whole world theyre no longer secret



yes for the cups, and marbles work...but...use less marbles!

ha ha ha about the edit part

Yes, I will follow your command and use less marbles.
I'll tell you on our next date okay? Just don't tell anyone and you can't be playing with marbles.

and u quoted me as i edited

notice my post starts 'u edited...'
while ur quote of my post starts 'yo edited...'

ill play with as many marbles as i want! ::pout::

That is too funny. I see it now. So we are quoting and editing each other during the same time.

We even posted at the same time.
I won't reveal what else we do at the same time.

or... ::gasm:: i mean ::gasp::

OMG YOU TOLD

I just sent you an email too btw

sorry...i just couldnt...contain myself :wink: