SOLUTION: A food cart is offering 30 drinks. There are 8 teas, 7 sodas, 9 waters, and 6 sports drinks. What are the odds in favor of randomly selecting a tea? What about odds against?

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: A food cart is offering 30 drinks. There are 8 teas, 7 sodas, 9 waters, and 6 sports drinks. What are the odds in favor of randomly selecting a tea? What about odds against?      Log On


   

Question 1203343: A food cart is offering 30 drinks. There are 8 teas, 7 sodas, 9 waters, and 6 sports drinks. What are the odds in favor of randomly selecting a tea? What about odds against?
Answer by math_tutor2020(3817) About Me  (Show Source):
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Answers:
Odds in favor 4:11
Odds against 11:4

Explanation:

There are 8 teas and 30-8 = 22 other drinks.
Odds in favor of tea are 8:22 which reduces to 4:11 (divide both pieces by the GCF 2)

Odds against tea are 11:4

***The order is important.***

With odds in favor, we list the number of ways to get a tea followed by getting another drink.
Odds against has that order reversed.

Often you will see the colon replaced with the word "to".
Meaning that something like 11:4 is equivalent to saying "11 to 4"