Statistics question, what's the chance voters for three positions picked the same candidate 50 times in a row.?
There was a recent election for President, Vice President, and Treasurer. There were two Presidents, three Vice Presidents, and two Treasurers running. Question; what is the likelihood that fifty (50) voters in a row would choose the same three candidates?
President 1 of 2
Vice President 1 of 3
Treasurer 1 of 2
50 times in a row
- M3Lv 71 decade agoFavorite Answer
the 1st man can choose any one from each category
P[2nd man chooses the same 3] = [1/2][1/3][1/2] = 1/12
P[3rd man chooses the same 3] = -ditto- = 1/12
. . . . . . . . . . . . . . . . . . . .
& -ditto- upto the 50th man
thus reqd. probability = [1/12]^49