Brain teaser / puzzle corner (part 2)

hehe i need minerals to sponser all the riddles i give out.

lucky i noticed this i was about to go 2 bed before i saw ur new riddle.

 

Coin one: 99.9...%

 

dude I don't think you can do the coin problem with simple math. All I can think of is using probabilities theories when I took stats class in high school. I really think the problem involves more than just a percentage. There is really no exact answer. I mean if you think about it, the only way you can get an equal number of heads and tails is an infinite number of flips.

If you want a percentage, it has to be based on a number of flips. There is no way you can calculate an exact percentage for an infinite number of flips unless its an equation based on the number of flips. It just doesn't make any sense. I would love to see how you calculated that percentage.

I mean if you are talking about infinity, then it's 100%. Cause really, its infinity... it may take countless millenias to get to that point, but since I have infinite amount of flips, I get it somehow... ^_^

 

The chances are between 99 and 100 because the odds are not determined by previous coin flips. No matter how many times you flip a coin on the next flip the odds will stil be 50/50. However, probability shows us that the more number of times you flip a coin the closer you will get to this odds of 50/50. For example lets say 3 out of 4 flips are tails. So you have 25/75 however if on the next flip you get heads then it changes the odds to 40/60. And etc. So even though you will end up somewhere very very very close to 50/50 you will never really reach that probability even doing it an infinite amount of times. So you would end up with 99.999999999 repeating. This is going all by logic and the definition of probability so it may not be the answer you're looking for.

 

soooo....anyone's done stats201/208? xD
stats108 = probability = 0%. but that only works for continuous variables. not sure about discrete =/

josh i posted that puzzle up ages ago but heh your version is interesting

so.....do you feel really good about yourself now? >.> if that's what it takes then....keep it up ^.-

funny riddle!

what did johnny say when he walked into a bar?

 

25% probability of equal amount of heads and tails

ok i got one
A guy starts out at his house
He walks 3 miles south. Then he turns to his left and walks due east 5 miles and kills a bear. He then walks 3 miles north and arrives home just in time for dinner.

What color was the bear?

 

white.

 

yay burkid! 50 minerals for j00

 

sweet. this is the first one that ive got haha.

 

He either turned right due east or left due west. =P But yeah he's at the north pole.

EDIT: HIS left. my mistake.

 

no one answered this
"This is a very easy one, 1st member correct gets a power up
In a horse race, you just overtook the 2nd horse, what place are you in now?"
ur in second place.

 

mabey im saying it wrong.

ok after first 2 flips probability is 50% right?
but if you dont get those you have 2 coins with either heads or tails making after 2 more flips your percentage goes to 62.5 because you have to reduce the percentage (25%)by the percentage you already have(50%), but then after the next two flips, there is a 1/6 chance which is 13.33333 percent chance which you also have to reduce by 62.5% making it about an aditional   5. somethin or another % so you are up to 67.5% but there is still more left to the equation more problems, but as you can see the added percents are decreasing at a decreaseing rate (desent seem like it at the start but it will... thats cause you are only losing 50% make sense?)which is easily graphable if you know how. so just figure out the rest.

i leave it up to you. that is hint 1.

what is the answer? mabey if you explain how you got your answer unlike all the other peops u will get it right.

by the way that really makes it ez doesent it? you only have to do 3 more probs to get the correct answer. so im lowing it to 400 minerals and 2x powerup.

disaree with my logic? prove it for 400 minerals.

 

lol

for me, that was the OPPOSITE of a hint

 

it gets ezer all the time. trust me. just dont think about it too hard or you can confuse yourself.

 

tweak, are you trying to say that the probabilities of the coins based on the sampled flips aren't independent....? tweak seems to be becoming rather experimental and off on his own world now....=/

EDIT: or he is confusing himself with the odd possibilities of the coins losing probability to rematch back to equal numbers of heads and tails because of doubles, which is very subjective to luck of sampling and thus is rather impossible to determine an infinity let alone remaining in the boundary of the laws of probability -_-

 

im saying yes they are not independent and can be solved thru this simple problem :

Toss the coin once, assign the value +1 to the side that shows (if heads comes up heads=+1 and tails=-1). Now toss the coin a second time.

The total will either be +2 or 0 with a probability of 1/2 that it is +2 and a probability of 1/2 that it is 0.

I use P(+x) to represent the probability that we will eventually get to a count of 0 starting with a count of +x.

So, after two tosses

(1) P = 1/2 + P(+2)

To solve for P(+2) we must toss the coin two more times and we will end up with +4 with a probability of (1/4), +2 with a probability of (1/2) and 0 with a probability of (1/4).

(2) P(+2) = (1/4)P(+4) + (1/2)P(+2) + (1/4)
(3) P(+2) = 1/2 + (1/2)P(+4)

Substitution back into the equation (1)

(4) P = 3/4 + (1/4)P(+4)

Toss the coin two more times and get +6 or +4 or +2 with probabilities 1/4, 1/2, 1/4.

(5) P(+4) = 1/4)P(+6) + (1/2)P(+4) + (1/4)P(+2)

Solve for P(+4) and we get

(6) P(+4) = (1/3) + (2/3)P(+6)

Substitute (6) back into (4) and you get

(7) P = 5/6 + (1/6)P(+6)

Now for a leap, I assert that:

(8 ) P(+n) = 1/((n/2) + 1) + (n/2)/((n/2) + 1)P(+(n+2))
and

(9) P = (n-1)/n + (1/n)P(+n)
for any even n

does that help? lol  ??? ??? ???

(muahahahah im soooo cunfusing!)

 

According to your equation the probablity would be 99.9 repeating percent chance since (n-1)/n+(anything positive) will never be equal to, but will get very close to, 1. Sorry I didn't explain before; I didn't know we had to.

 

alright that riddle is closed. im getting more confused by the second and i know im influencing my cunfusing ways on you guys too.

thinking of a new riddle.

Edit: alright heres my new riddle for 250 minerals
Add punctuation to the following phrase to make something gramatically and logically coherent:

i had had had tom had had had had had had had had the praise of the teacher

lol good luck

 

Can you also change capitilazation and spacing? If not i have no idea... Can we have a hint???

 

I had had, had Tom had had had had had had had had the praise of the teacher.

It's still not logically coherent. One should use a s few words as possible.