Thoh:
A certain investment doubles Thoh's money every five years. If Thoh leaves all the money invested, in 40 years he'll have 384,000.
a) How long will it take to have $340,000 if he starts with twice as much money
b) How much money did he start with
a) 5 years less, or 35 years.
b) 40/5=8 n*2^8=340000. n= 1328.125
Think of it this way; in the first scenario he has twice as much in 5 years, leaving 35 more to reach $384,000. He started with $1,500 : 384,000 = x (original investment) + 2x + 4x + 8x + 16x + 32x + 64x + 128x or 256x, thus 384,000/256 = 1,500.
One of us is righter than the other, however it is not a bad investment, better start saving.
TTH:
"Â…the answer to the card question is a slim chance"
You got that right!
"What I did was to take 720/3=240/2=120 to get tth's weight, then 120 x 2= 240 to get thoh's weight and last 120 x 3 to get marks weight. Will this apply to the same type of problems or was it just a coincidence?"
It's no coincidence, the same system works to keep your skin soft and whiten your teeth etc.
"What is the probability that Tryagain is even close to all our weights?"
I got the data straight from Weight Watchers Inc. However if the numbers are metric, please accept my apologies.
Mark (I'll stay up as late as I please):
The probability of an event is the number of favorable outcomes divided by the number of possible outcomes. We need to know the number of 13-card hands with no card higher than a 10 and the total number of 13-card hands.
Assuming aces are low, the former is C(40,13) which is the number of combinations of 40 things (ace-ten in four suits) taken 13 at a time. The latter is C(52,13) which is the number of combinations of 52 things (the whole deck) taken 13 at a time. So, the answer to Try's question is C(40,13)/C(52,13).
What the hell is C(n,r) you might ask. Good question. It is n! / [(n-r)! * r!) where n! = 1 * 2 * 3 * 4 * ... * n.
So, the answer is 12033222880 / 635013559600 = 0.01895 which is slightly less than 2%. Anything less than 2% is considered slim, so you were right!!!
Aces low!
What are you playing, snap? Needless to say I assumed aces were high; thus:
First, we must determine how many different ways that 13 cards can be chosen from 52. This would represent the number of ALL possible bridge hands, which turns out to be 635,013,559,600. Now we must determine how many ways 13 cards can be chosen from the 36 cards that are 10 or lower. This turns out to be 2,310,789,600. Now dividing this number into the previous number we obtain the probability of .003638961035 or about 1 in 275.
ANOTHER METHOD
The probability that the first card dealt is a 10 or lower is 36/52. The probability of the next card being a 10 or lower is 35/51 and so on. This results in a thirteen fraction equation where probability equals
36*35*34*33*32*31*30*29*28*27*26*25*24
52*51*50*49*48*47*46*45*44*43*42*41*40
which equals .003638961035.... or about 1 in 275. Pretty good agreement.
Thus proving dark chocolate is good for the brain. :wink:
"What's plan B in case this site goes down and stays down?"
We all go round to TTH's mansion, sit round the pool and discuss the matter in greater detail.
Mark can solve 32 math riddles per hour while painting ?'our' car, and his friend TTH takes three hours to solve the same number, whilst painting her nails. If they both work on them, (that's the riddles, not her nails) how long will it take for them to solve 32 math riddles
An employee at A2K is to be rewarded with a $250 bonus AFTER TAXES have been deducted, for keeping this site going for 3.75 minutes without a crash.
If the federal tax is 15%, the state tax is 10% and the Social Security is 7.5 % what must the GROSS PAY be in order for the net payout to be $250
The color of the car reminds me of:
Lyrics to Purple People Eater.
Well I saw the thing comin' out of the sky
It had the one long horn, one big eye.
I commenced to shakin' and I said "ooh-eee"
It looks like a purple people eater to me.
It was a one-eyed, one-horned, flyin' purple people eater.
(one-eyed, one-horned, flyin' purple people eater)
A one-eyed one-horned, flyin' puple people eater
Sure looks stange to me. (one eye?)
Well he came down to earth and lit in a tree
I said Mr. Purple People Eater don't eat me
I heard him say in a voice so gruff
I wouldn't eat you cuz you're so tough
It was a one-eyed, one-horned flyin' purple people eater
one-eyed, one-horned flyin' purple people eater
one-eyed, one-horned flyin' purple people eater
Sure looks strange to me. (one horn?)
I said Mr. Purple People Eater, what's your line
He said it's eatin' purple people and it sure is fine
But that's not the reason that I came to land
I wanna get a job in a rock and roll band
Well bless my soul, rock and roll,
flying purple people eater.
Pidgeon-toed, undergrowed, flyin'
purple people eater (we wear short shorts)
Flyin' purple people eater
sure looks strange to me.
And then he swung from the tree and lit on the
ground. He started to rock, really rockin' around
It was a crazy little ditty with a swingin' tune
(sing aboop boop aboopa lopa lum bam boom)
Well, bless my soul, rock and roll
flyin' purple people eater.
Pigeon-toed, undergrowed, flyin' purple peopleeater.
Flyin' little people eater
Sure looks strange to me. (purple people?)
And then he went on his way, and then what do
you know. I saw him last night on a TV show.
He was blowing it out, a'really knockin' em dead
Playin' rock and roll music through the horn in
his head (clarinet solo) ( Tequila)
- I forgot it was bridge. Your number is correct.
