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Mandrake
post Sep 16 2005, 04:16 PM
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QUOTE(vivekpm @ Sep 16 2005, 03:53 PM)
QUOTE(Mandrake @ Sep 16 2005, 03:34 PM)
Monsieur Vivekulus, vous etes tres amazant!!! bow.gif bow.gif
*



JaadugarJi... What does this mean blab.gif ??? Monsieur is Mr. in French? My linguistic capabilities are limited to Eng,Hin,Mar and Guj sad1.gif

Cheers,
*



Arrey mere pyaare gaNit-ke-jaadugar, woh jo do-do : bow : symbols hai na, wohi maine fransisi mein likha hai wink2.gif

vous etes = you are
tres = very
amazant = amazing

ab toh naya thread shuru karo na pls clap1.gif

Self - belief is the most potent force.
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vivekpm
post Sep 16 2005, 04:40 PM
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QUOTE(Mandrake @ Sep 16 2005, 04:16 PM)
QUOTE(vivekpm @ Sep 16 2005, 03:53 PM)
QUOTE(Mandrake @ Sep 16 2005, 03:34 PM)
Monsieur Vivekulus, vous etes tres amazant!!! bow.gif bow.gif
*



JaadugarJi... What does this mean blab.gif ??? Monsieur is Mr. in French? My linguistic capabilities are limited to Eng,Hin,Mar and Guj sad1.gif

Cheers,
*



Arrey mere pyaare gaNit-ke-jaadugar, woh jo do-do : bow : symbols hai na, wohi maine fransisi mein likha hai wink2.gif

vous etes = you are
tres = very
amazant = amazing

ab toh naya thread shuru karo na pls clap1.gif
*



Arrey yeh maine kya kar diya. Ise kehte hai "apne pairon pe kulhaadi marna". doh.gif

Mandrake, I have never seriously read any book or anything about mathematics apart from what was taught in school/college. Only thing, I can say is, I have always tried to break-up all the formulaes that I come across to smallest possible fundamental step and that is how I remember anything related to numbers.

Give me some time (bit busy with office work sad1.gif), I will try to post few maths "tools" that I use. I am not sure, if I can write down my thoughts clearly but will surely try. Agar aap mujhe jhel sakte ho to tongue.gif. Also, I don't know where to begin, most of the things I know is nothing but elementary Mathematics. Like divisibility rules, number theory, prime numbers etc... So I doubt if I can do any value addition. I will be more than happy if I can add to someone's knowledge and so I will surely give it a shot. I am sure there will be many others here who can share their knowledge too smile1.gif.

Cheers,

V i V e K ...

--------------------------------------------



Education is a progressive discovery of our own ignorance.
-- Will Durant

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divz
post Sep 16 2005, 04:46 PM
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QUOTE(vivekpm @ Sep 16 2005, 04:40 PM)
QUOTE(Mandrake @ Sep 16 2005, 04:16 PM)
QUOTE(vivekpm @ Sep 16 2005, 03:53 PM)
QUOTE(Mandrake @ Sep 16 2005, 03:34 PM)
Monsieur Vivekulus, vous etes tres amazant!!! bow.gif bow.gif
*



JaadugarJi... What does this mean blab.gif ??? Monsieur is Mr. in French? My linguistic capabilities are limited to Eng,Hin,Mar and Guj sad1.gif

Cheers,
*



Arrey mere pyaare gaNit-ke-jaadugar, woh jo do-do : bow : symbols hai na, wohi maine fransisi mein likha hai wink2.gif

vous etes = you are
tres = very
amazant = amazing

ab toh naya thread shuru karo na pls clap1.gif
*



Arrey yeh maine kya kar diya. Ise kehte hai "apne pairon pe kulhaadi marna". doh.gif

Mandrake, I have never seriously read any book or anything about mathematics apart from what was taught in school/college. Only thing, I can say is, I have always tried to break-up all the formulaes that I come across to smallest possible fundamental step and that is how I remember anything related to numbers.

Give me some time (bit busy with office work sad1.gif), I will try to post few maths "tools" that I use. I am not sure, if I can write down my thoughts clearly but will surely try. Agar aap mujhe jhel sakte ho to tongue.gif. Also, I don't know where to begin, most of the things I know is nothing but elementary Mathematics. Like divisibility rules, number theory, prime numbers etc... So I doubt if I can do any value addition. I will be more than happy if I can add to someone's knowledge and so I will surely give it a shot. I am sure there will be many others here who can share their knowledge too smile1.gif.

Cheers,
*



waiting for ur TOOLS!!!!!!!!!!!

" Never let the fear of striking out keep you from playing the game "
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shivani
post Sep 16 2005, 04:47 PM
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mmm too much work today Divvy.. but here is the next one..

Everyone knows what a duel is. Until the 20th century, men showed their honor by dueling each other. One participant shot at the other, and if the other participant lived, he was given a shot to kill. Many famous men were involved in duels, with the Burr-Hamilton being the most famous, and Andrew Jackson being one of the most prolific.

Anyway, a variation of the duel is the concept of the truel, where three participants are involved. In the this riddle, Participant A is a perfect shot, and anytime he shoots, he kills with certainty. Participant B is a pretty good shot, and anytime he shoots, there is a probability of 0.5 that he will kill. Finally, participant C is a lousy shot, and anytime he shoots, there is a probability of 0.33 that he will kill.

To make things fair, the order of shooting is C, then B, and finally A. This sequence is repeated until only participant is left alive.

With participant C being first, what is his best strategy at surviving?

Enjoy ..
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Mandrake
post Sep 16 2005, 05:19 PM
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laugh.gif Shivani, kya sawaal poochha hai rollf.gif

C's best strategy is to run away wink2.gif
Alternatively, he asks for 3 chances (don't most of us, typically? wink2.gif).
Then he shoots A first, misses. Shoots B next, misses. Shoots A again and succeeds.

Bingo!!

With A outta the way, B and C make truce and go for a beer thumbs-up.gif

Kahaani khatam bow.gif

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vivekpm
post Sep 16 2005, 05:42 PM
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Shivani, a doubt.

If C starts and misses, does B shoot back at C or at A? I mean does sequence C,B,A imply order of shooting or order of duels (C to B, B to A and then C to survivor of "B to A")?

This will get ugly if contingent probability comes into picture sad1.gif.

Cheers,

V i V e K ...

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Education is a progressive discovery of our own ignorance.
-- Will Durant

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shivani
post Sep 16 2005, 06:10 PM
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Vivek.. am sorry I have not started workign on this problem so far so cant provide any clues. Maybe tonight. Since Divvy asked I justed pasted this one.

And to answere Visu's query on where am I getting these puzzles.. curtesy Hubby smile1.gif. and I dont have access to all of them.. get the next only ony after solving the first one.. which am able to some times.. and threaten or blackmail him to get the answer other times blush.gif ( after a few unsuccessful tries and enough clues)

So.. clues when am able to extract them smile1.gif

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vivekpm
post Sep 16 2005, 06:17 PM
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QUOTE(shivani @ Sep 16 2005, 06:10 PM)
Vivek.. am sorry I have not started workign on this problem so far so cant provide any clues. Maybe tonight. Since Divvy asked I justed pasted this one.

And to answere Visu's query on where am I getting these puzzles.. curtesy Hubby smile1.gif. and I dont have access to all of them.. get the next only ony after solving the first one.. which am able to some times.. and threaten or blackmail him to get the answer other times blush.gif ( after a few unsuccessful tries and enough clues)

So.. clues when am able to extract them smile1.gif
*



Okie... Will wait for your inputs. Have forgotten probability sad1.gif. Specially contingent probability where occurance of one event is dependent on other, which is what this one looks like...

Wherever, you are getting these puzzles from, they are really good. Dimag pe rust lag gaya tha jo ab thoda thoda saaf ho raha hai... smile1.gif

Cheers,

V i V e K ...

--------------------------------------------



Education is a progressive discovery of our own ignorance.
-- Will Durant

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shivani
post Sep 16 2005, 06:22 PM
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QUOTE(The Mathematician)
Okie... Will wait for your inputs. Have forgotten probability sad1.gif. Specially contingent probability where occurance of one event is dependent on other, which is what this one looks like...

Wherever, you are getting these puzzles from, they are really good. Dimag pe rust lag gaya tha jo ab thoda thoda saaf ho raha hai... smile1.gif

Well.. mujhe to probability kabhi samajh hi nahi aayee thi sad1.gif
and aapke to dimag ka rust utar raha hai par mere dimag ka dahi ban raha hai cry.gif. I love maths as much as a deer abut to die loves its predator.
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divz
post Sep 16 2005, 07:44 PM
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QUOTE(shivani @ Sep 16 2005, 04:47 PM)
Anyway, a variation of the duel is the concept of the truel, where three participants are involved. In the this riddle, Participant A is a perfect shot, and anytime he shoots, he kills with certainty. Participant B is a pretty good shot, and anytime he shoots, there is a probability of 0.5 that he will kill. Finally, participant C is a lousy shot, and anytime he shoots, there is a probability of 0.33 that he will kill.

To make things fair, the order of shooting is C, then B, and finally A. This sequence is repeated until only participant is left alive.

With participant C being first, what is his best strategy at surviving?

Enjoy ..
*



oh no.......... Probability.......... huh.gif bahut pareshaan iya hai isne humko 12th me.. but still mamanged to do that.. smile1.gif
par abhi to concept hi bhool gaya hai joint probability ka..... sad1.gif fir padhna parega... baki riddles me atleast padhna to nahi t ha naa.. khair will rty it tomorrow..

" Never let the fear of striking out keep you from playing the game "
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shivani
post Sep 17 2005, 12:23 AM
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clue.... C can chose to shoot anyone/anywhere..

actually there is no clue to this one.. only a pretty simple solution if you think about it : ). Ive just put something there to direct you towards it.
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vivekpm
post Sep 17 2005, 12:58 AM
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QUOTE(shivani @ Sep 17 2005, 12:23 AM)
clue.... C can chose to shoot anyone/anywhere..

actually there is no clue to this one.. only a pretty simple solution if you think about it : ). Ive just put something there to direct you towards it.
*



Yeah I assumed that. I have kind of come up with a strategy but cannot work out the numbers now (already 1 am, feeling sleepy sad1.gif). I think I won't be able to exactly calculate the probability of C surviving. I am still working on it.

I think C should hit B first and pray that he misses (or he can misfire the shot if he can) because if he hits B then he will run into A who is a super killer and if he misses against A, he is surely gone. So probability of C surviving when he hits B is less.

C cannot afford to start with A and miss. As doing so will be "the end" for C.

On other hand, if he misses B and B in turn misses C (chances are 50%), then A and B will have a duel and one of them will perish. C should try to shoot whoever is left amongst A and B. Here probability of C surviving will be relatively higher.

Going by numbers I am getting C's highest chances for survival while he aims at B first are something like 5/18 and when he aims at A first is 2/9. But as I said, I am not too convinced of these numbers. What I am sure though is that the strategy is correct.

Cheers,

V i V e K ...

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Education is a progressive discovery of our own ignorance.
-- Will Durant

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shivani
post Sep 17 2005, 01:02 AM
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rollf.gif if uve given uo.. answer batayen
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vivekpm
post Sep 17 2005, 01:08 AM
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QUOTE(shivani @ Sep 17 2005, 01:02 AM)
rollf.gif if uve given uo.. answer batayen
*



Ok bata dijiye if no one else is trying... But I think, if C can shoot anywhere, he should shoot towards the ground in first attempt and let A and B fight it out. Then attempt to kill whoever is left.

Cheers,

V i V e K ...

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-- Will Durant

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shivani
post Sep 17 2005, 01:27 AM
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grrr.... that is right
C should take first aim in the air.. so that B who has better chances of killing gets to A .. if he succeeds.. good enough.. else A will surely eliminate B. And then C next round main dekhega.. kya karna hai.
ye lo one more as the winning prize rollf.gif rollf.gif

A room contains 50 chairs, numbered 1 through 50. Outside of the room, waiting to come in are 50 people, also numbered 1 through 50. The relevant information is this: a) the people enter the room and take a seat in sequential order and sunglasses2.gif for people 2-50, if their seat is available, they take it, otherwise their selection is random and c) person number 1 chooses his seat randomly.

You're person number 50. What is the probability that you end up in your seat? (as in, seat number 50) Explain your answer.


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