100 Prisoners Problem Light Bulb Riddle Answer
by Swetha P | Updated Jan 23, 2023
100 Prisoners Problem Light Bulb Riddle Answer
The mathematical problem is the 100 prisoners problem in probability theory and combinatorics. In this problem, one must find 100 numbered prisoners their numbers in one of 100 drawers to survive. If you are searching for the 100 Prisoners Problem Light Bulb Riddle Answer then keep reading. The rules state that each prisoner might open only 50 drawers and cannot communicate with different prisoners. At first glance, the situation seems hopeless, but a clever strategy presents the prisoners with a realistic chance of survival. Danish computer scientist Peter Bro Miltersen first suggested the problem in 2003. Check the 100 prisoners problem light bulb riddle answer in the upcoming section.
100 Prisoners Problem Light Bulb Riddle Question?
There are 100 prisoners in solitary cells. There's a central living room with one light bulb; this bulb is initially off. No prisoner can see the light bulb from his or her own cell. Everyday, the warden picks a prisoner equally at random, and that prisoner visits the living room. While there, the prisoner can toggle the bulb if he or she wishes. Also, the prisoner has the option of asserting that all 100 prisoners have been to the living room by now. If this assertion is false, all 100 prisoners are shot. However, if it is indeed true, all prisoners are set free and inducted into MENSA, since the world could always use more smart people. Thus, the assertion should only be made if the prisoner is 100% certain of its validity. The prisoners are allowed to get together one night in the courtyard, to discuss a plan. What plan should they agree on, so that eventually, someone will make a correct assertion?
Explained 100 Prisoners Problem Light Bulb Riddle Solution
The problem is indeed widespread. It's even enclosed in P. Winkler's Mathematical Puzzles, a suggested book. Winkler also documents a slew of sources where the problem appeared, including ibm.com and a newsletter of the MSRI.If just one prisoner does not find their number, all prisoners die. Before the first prisoner enters the room, the prisoners may discuss strategy but may not communicate once the first prisoner enters to look in the drawers.
The solution:
The prisons select a fellow, Alice, who will have a particular responsibility. All different prisoners behave according to the same protocol: each turns the light off twice, i.e., they turn it off the first two times they find it on. They leave it untouched after that. Alice turns the light on if it is off and counts the number of times she penetrated the room with the light off. When her count reaches 2n - 3, she may claim with the assurance that all n prisoners have been to the room.
100 Prisoners Problem Light Bulb Riddle Answer: FAQs
The mathematical problem is the 100 prisoners problem in probability theory and combinatorics.
The problem is indeed widespread. It's even enclosed in P. Winkler's Mathematical Puzzles, a suggested book. Winkler also documents a slew of sources where the problem appeared, including ibm.com and a newsletter of the MSRI. Refer to the article.
The rules state that each prisoner might open only 50 drawers
Danish computer scientist Peter Bro Miltersen first suggested the problem in 2003.