SOLUTION: A sports statistician determined that the probability of a certain rugby team winning its next match is 11/19 . Find the odds against the team winning its next match.

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Question 1194002: A sports statistician determined that the probability of a certain rugby team winning its next match is 11/19 . Find the odds against the team winning its next match.
Found 2 solutions by greenestamps, math_tutor2020:
Answer by greenestamps(13203) (Show Source):
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If the probability of winning is 11/19, then the probability of losing is 1-11/19 = 8/19.

Odds IN FAVOR of winning compares probability of winning to probability of losing: (11/19):(8/19) = 11:8.

Odds AGAINST winning compares probability of losing to probability of winning: (8/19):(11/19) = 8:11.

ANSWER: The odds against the team winning its next match are 8:11.

Answer by math_tutor2020(3817) (Show Source):
You can put this solution on YOUR website!

If the team played 19 matches, and won 11 of them, then the probability of them winning is 11/19. This is an empirical (aka experimental) probability.

Since the team won 11 matches out of 19, this means they lost 19-11 = 8 matches.

The odds against the team winning are 8:11.
We list the number of unfavorable outcomes (the number of losses) followed by the number of favorable outcomes (the number of wins). A colon separates the values.
Writing 8:11 is the same as saying 8 to 11.

If you wanted the odds in favor, simply flip the 8 and 11 to get 11:8

Answer = 8:11