Sunday

April 20, 2014

April 20, 2014

Posted by **ami** on Saturday, September 29, 2012 at 6:53pm.

will pardon one of the prisoners, and he tells the Warden who he chose, but the warden is not allowed to

reveal who was pardoned. Lets switch things up some, Prisoner C asked the warden if he was pardoned, but

the warden only will tell him that either A or B will die. Furthermore, as with the midterm problem, it is

close election time so the Governor decided to make his decision based on the proportion of people that would

dislike his choice. Because of this, we have that A has a 1

2 probability of being pardoned, B has a 1

3 probability

of being pardoned, and C has a 1

6 probability of being pardoned. Unlike in class, C knows that the warden

likes B, and if he has a choice in who he will say will die, he will always say A will die.

De ne events A=fA is Pardonedg, B=fB is Pardonedg, C=fC is Pardonedg, and W=fWarden says B diesg.

(a) What is the event Wc in words?

(b) Make a tree diagram showing all probabilities in the tree.

(c) [ Calculate, showing all steps, P(C/Wc).

(d) Calculate, showing all steps, P(C/W).

(e) Calculate, showing all steps, P(A/W)

- please tell teachers what the subject is - needs probabilty and stats -
**Damon**, Saturday, September 29, 2012 at 6:56pmI showed you how to do the last one, am leaving this more complicated version of the classic prisoner's dilemna problem for a stats teacher (I do physics)

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