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A matching problem consists of three civil war battles and three years. Sadly, it has been a while since you've taken 19th century American History, and you can't remember the dates of any battles. So you guess, at random, each of the
three, picking a different date for each battle. Find the probability distribution for Y , the number of correct matches.
confused @phi
 one year ago
 one year ago
A matching problem consists of three civil war battles and three years. Sadly, it has been a while since you've taken 19th century American History, and you can't remember the dates of any battles. So you guess, at random, each of the three, picking a different date for each battle. Find the probability distribution for Y , the number of correct matches. confused @phi
 one year ago
 one year ago

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tomoBest ResponseYou've already chosen the best response.0
I know the following: 3 battles 3 years guess at random each of the 3 different date for each battle find probability distribution for Y = # of correct matches.
 one year ago

tomoBest ResponseYou've already chosen the best response.0
I need to find the probability for Y = 0,1,2, and 3
 one year ago

tomoBest ResponseYou've already chosen the best response.0
I think that for P(Y=2) it would be [C(3,1)+C(2,1)]/[C(3,1)+C(3,1)]
 one year ago

phiBest ResponseYou've already chosen the best response.0
Let's say the battle and correct year are (A,1), (B,2), (C,3) For A B C in that order, list the possible assignment of years. There are 3!= 6 ways ABC 123 3 correct answers 132 1 correct answer 213 1 correct answer 231 0 correct answers 312 0 correct answers 321 1 correct answer so I would say P(0)= 1/3, P(1)= 1/2, P(2)= 0, P(3)= 1/6 Off hand, I don't know how to figure this out using C notation, but ask Zarkon.
 one year ago

tomoBest ResponseYou've already chosen the best response.0
thanks @phi, yeah I tried using combinations, however that was not the right way to do it. I understand that P(2) =0, since if you know two are right, then the third one must also be right.
 one year ago

phiBest ResponseYou've already chosen the best response.0
When they give small problems, my instinct is to use brute force.
 one year ago
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