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Mandrake |
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#31
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![]() Dedicated Member ![]() Group: Members Posts: 3856 Joined: 11-April 05 From: Mumbai, India Member No.: 2066 ![]() |
QUOTE(vivekpm @ Sep 16 2005, 03:53 PM) QUOTE(Mandrake @ Sep 16 2005, 03:34 PM) JaadugarJi... What does this mean ![]() ![]() Cheers, Arrey mere pyaare gaNit-ke-jaadugar, woh jo do-do : bow : symbols hai na, wohi maine fransisi mein likha hai ![]() vous etes = you are tres = very amazant = amazing ab toh naya thread shuru karo na pls ![]() Self - belief is the most potent force.
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vivekpm |
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#32
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Dedicated Member ![]() Group: Members Posts: 1404 Joined: 22-November 03 Member No.: 120 ![]() |
QUOTE(Mandrake @ Sep 16 2005, 04:16 PM) QUOTE(vivekpm @ Sep 16 2005, 03:53 PM) QUOTE(Mandrake @ Sep 16 2005, 03:34 PM) JaadugarJi... What does this mean ![]() ![]() Cheers, Arrey mere pyaare gaNit-ke-jaadugar, woh jo do-do : bow : symbols hai na, wohi maine fransisi mein likha hai ![]() vous etes = you are tres = very amazant = amazing ab toh naya thread shuru karo na pls ![]() Arrey yeh maine kya kar diya. Ise kehte hai "apne pairon pe kulhaadi marna". ![]() 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 ![]() ![]() ![]() Cheers, V i V e K ...
-------------------------------------------- Education is a progressive discovery of our own ignorance. -- Will Durant |
divz |
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#33
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![]() Dedicated Member ![]() Group: Members Posts: 1906 Joined: 9-April 05 From: in front of my pc Member No.: 2049 ![]() |
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) JaadugarJi... What does this mean ![]() ![]() Cheers, Arrey mere pyaare gaNit-ke-jaadugar, woh jo do-do : bow : symbols hai na, wohi maine fransisi mein likha hai ![]() vous etes = you are tres = very amazant = amazing ab toh naya thread shuru karo na pls ![]() Arrey yeh maine kya kar diya. Ise kehte hai "apne pairon pe kulhaadi marna". ![]() 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 ![]() ![]() ![]() Cheers, waiting for ur TOOLS!!!!!!!!!!! " Never let the fear of striking out keep you from playing the game "
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shivani |
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#34
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Dedicated Member ![]() Group: Members Posts: 3886 Joined: 1-August 05 Member No.: 2848 ![]() |
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 .. |
Mandrake |
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#35
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![]() Dedicated Member ![]() Group: Members Posts: 3856 Joined: 11-April 05 From: Mumbai, India Member No.: 2066 ![]() |
![]() ![]() C's best strategy is to run away ![]() Alternatively, he asks for 3 chances (don't most of us, typically? ![]() 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 ![]() Kahaani khatam ![]() Self - belief is the most potent force.
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vivekpm |
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#36
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Dedicated Member ![]() Group: Members Posts: 1404 Joined: 22-November 03 Member No.: 120 ![]() |
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 ![]() Cheers, V i V e K ...
-------------------------------------------- Education is a progressive discovery of our own ignorance. -- Will Durant |
shivani |
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#37
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Dedicated Member ![]() Group: Members Posts: 3886 Joined: 1-August 05 Member No.: 2848 ![]() |
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 ![]() ![]() So.. clues when am able to extract them ![]() |
vivekpm |
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#38
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Dedicated Member ![]() Group: Members Posts: 1404 Joined: 22-November 03 Member No.: 120 ![]() |
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 ![]() ![]() So.. clues when am able to extract them ![]() Okie... Will wait for your inputs. Have forgotten probability ![]() 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... ![]() Cheers, V i V e K ...
-------------------------------------------- Education is a progressive discovery of our own ignorance. -- Will Durant |
shivani |
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#39
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Dedicated Member ![]() Group: Members Posts: 3886 Joined: 1-August 05 Member No.: 2848 ![]() |
QUOTE(The Mathematician) Okie... Will wait for your inputs. Have forgotten probability ![]() 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... ![]() Well.. mujhe to probability kabhi samajh hi nahi aayee thi ![]() and aapke to dimag ka rust utar raha hai par mere dimag ka dahi ban raha hai ![]() |
divz |
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#40
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![]() Dedicated Member ![]() Group: Members Posts: 1906 Joined: 9-April 05 From: in front of my pc Member No.: 2049 ![]() |
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.......... ![]() ![]() par abhi to concept hi bhool gaya hai joint probability ka..... ![]() " Never let the fear of striking out keep you from playing the game "
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shivani |
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#41
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Dedicated Member ![]() Group: Members Posts: 3886 Joined: 1-August 05 Member No.: 2848 ![]() |
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. |
vivekpm |
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#42
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Dedicated Member ![]() Group: Members Posts: 1404 Joined: 22-November 03 Member No.: 120 ![]() |
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 ![]() 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 ...
-------------------------------------------- Education is a progressive discovery of our own ignorance. -- Will Durant |
shivani |
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#43
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Dedicated Member ![]() Group: Members Posts: 3886 Joined: 1-August 05 Member No.: 2848 ![]() |
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vivekpm |
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#44
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Dedicated Member ![]() Group: Members Posts: 1404 Joined: 22-November 03 Member No.: 120 ![]() |
QUOTE(shivani @ Sep 17 2005, 01:02 AM) 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 ...
-------------------------------------------- Education is a progressive discovery of our own ignorance. -- Will Durant |
shivani |
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#45
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Dedicated Member ![]() Group: Members Posts: 3886 Joined: 1-August 05 Member No.: 2848 ![]() |
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 ![]() ![]() 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 ![]() 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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