at http://www.math-magic.com/probability/prob_to_odds.htm

Section D. 2. a. (Ex [2]) should be corrected.

The odds of winning is the reciprocal of the odds of losing, so first calculate the odds of losing from probability of losing and then take the reciprocal

probability of losing: 6/17
odds of losing: 6/(17-6) = 6/11
odds of winning: 11/6

OR

first calculate the probabiliy of winning and then calculate the odds of winning from that.

probability of losing: 6/17
probability of winning: 1- (6/17) = 11/17
odds of winning: 11/(17-11) = 11/6