Примери коришћења Host opens на Енглеском и њихови преводи на Српски
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Third stage: host opens a door.
Therefore, whether or not the car is behind door 1, the chance that the host opens door 3 is 50%.
Then, if the player initially selects door 1, and the host opens door 3, we prove that the conditional probability of winning by switching is.
The host opens a door and makes the offer to switch 100% of the time if the contestant initially picked the car, and 50% the time otherwise.
Therefore, the chance that the host opens door 3 is 50%.
The information"host opens door 3" contributes a Bayes factor or likelihood ratio of 1: 1, on whether or not the car is behind door 1.
If the host picks randomly q would be 1/2 andswitching wins with probability 2/3 regardless of which door the host opens.
Given that the caris behind door 1, the chance that the host opens door 3 is also 50%, because, when the host has a choice, either choice is equally likely.
If the host chooses uniformly at random between doors hiding a goat(as is the case in the standard interpretation), this probability indeed remains unchanged, but if the host canchoose non-randomly between such doors, then the specific door that the host opens reveals additional information.
Now, since the player initially chose door 1, the chance that the host opens door 3 is 50% if the car is behind door 1, 100% if the car is behind door 2, 0% if the car is behind door 3.
As already remarked, most sources in the field of probability, including many introductory probability textbooks, solve the problem by showing the conditional probabilities that the car is behind door 1 and door 2 are 1/3 and 2/3(not 1/2 and 1/2)given that the contestant initially picks door 1 and the host opens door 3;
At the other extreme, if the host opens all losing doors but one(p= N- 2) the advantage increases as N grows large(the probability of winning by switching is N- 1/N, which approaches 1 as N grows very large).
Ferguson(1975 in a letter to Selvin cited in Selvin 1975b)suggests an N-door generalization of the original problem in which the host opens p losing doors and then offers the player the opportunity to switch;
If we assume that the host opens a door at random, when given a choice, then which door the host opens gives us no information at all as to whether or not the car is behind door 1.
By definition, the conditional probability of winning by switching given the contestant initially picks door 1 and the host opens door 3 is the probability for the event"car is behind door 2 and host opens door 3" divided by the probability for"host opens door 3".
So the player's choice after the host opens a door is no different than if the host offered the player the option to switch from their original chosen door to the set of both remaining doors.
In contrast most sources in the field of probability calculate the conditional probabilities that the car is behind door 1 and door 2 are 1/3 and2/3 given the contestant initially picks door 1 and the host opens door 3Selvin(1975b), Morgan et al. 1991, Chun 1991, Gillman 1992, Carlton 2005, Grinstead and Snell 2006:137- 138, Lucas et al.
These are the only cases where the host opens door 3, so the conditional probability of winning by switching given the host opens door 3 is 1/3/1/3+ q/3 which simplifies to 1/1+ q.
As already remarked, most sources in the field of probability, including many introductory probability textbooks, solve the problem by showing the conditional probabilities that the car is behind door 1 and door 2 are 1/3 and 2/3(not 1/2 and 1/2)given that the contestant initially picks door 1 and the host opens door 3; various ways to derive and understand this result were given in the previous subsections.
If the player picks door 1 and the host's preference for door 3 is q,then the probability the host opens door 3 and the car is behind door 2 is 1/3 while the probability the host opens door 3 and the car is behind door 1 is q/3.
According to Bayes' rule, the posterior odds on the location of the car,given that the host opens door 3, are equal to the prior odds multiplied by the Bayes factor or likelihood, which is, by definition, the probability of the new piece of information(host opens door 3) under each of the hypotheses considered(location of the car).
Ferguson(1975 in a letter to Selvin cited in Selvin 1975b) suggests an N-door generalization of the original problem in which the host opens p losing doors and then offers the player the opportunity to switch; in this variant switching wins with probability 1 N⋅ N- 1 N- p- 1{\displaystyle{\frac{1}{N}}\cdot{\frac{N-1}{N-p-1}}}.
Security and stability concerns associated with the operating system that is running on the host- Open or Closed ports.
The solutions in this section consider just those cases in which the player picked door 1 and the host opened door 3.
Given that the host opened door 3, the probability that the car is behind door 3 is zero, and it is twice as likely to be behind door 2 than door 1.
This shows that the chance that the car is behind door 1,given that the player initially chose this door and given that the host opened door 3, is 1/3, and it follows that the chance that the car is behind door 2, given that the player initially chose door 1 and the host opened door 3, is 2/3.
The seller's agent, or the person who puts the house on the market, takes andpost pictures and hosts open houses, gets $3,000.
The company says every store will have job opportunities posted over the next three months, butsome stores have been hosting open house-style Wawa Career Wednesdays, which started on March 28 and continue through April 18.
The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player pick door 2 instead of door 1.
The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player switch from door 1 to door 2.