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Re:Statistics
> You are right. Can you explain why ?
Dung Trong Nguyen wrote
The probability must still be 2/3 as A's question seems to unveil no
information about the case of himself. We carry out a formally
calculation. The released couple can be either AB, BC or CA, so P(AB)
= 1/3. The answer of A's question can be either B or C, so P(answer =
B) = 1/2. We have
P(A/answer = B) = P(AB) / P(answer = B) = 1/3 / 1/2 = 2/3
The calculation gives us exactly the number as our intuitive guess
does. Therefore there no pradox here at all.
Dear Dung
Paradox la` theo quan ddie^?m cu?a tu` nha^n A chu+'kho^ng pha?i la` cho
chu'ng ta. Anh ta tu+o+?ng ra(`ng khi co' two possible
cases thi` mo^~i case du+o+.c ga'n mo^.t XS nhu+ nhau (
equiprobability). Tu+o+ng tu+. nhu+ khi gieo mo^.t do^`ng xu
XS ra ma(.t sa^'p la` 1/2 chi? khi ddo^`ng xu ddu+o+.c CHE^' TA.O CA^N
DDO^'I. O+? dda^y ti'nh toa'n cu?a nha` tho^ng tha'i Du~ng cho tha^'y
ngu+o+`i dda'ng lo la` C( XS cu?a C la` 1/3) chu+' kho^ng pha?i la`
A. Kho^? tha^n cho ke? tha^'t ho.c Statistics!
Cheers
Tha('ng.