Ann is watching her favorite team play a match. The odds against her favorite team winning are 17/5. What is the probability of her favorite team winning?

Respuesta :

Answer:

5/22

Explanation:

The odds against Ann's favorite team winning =17/5.

This means that:

[tex]\frac{\text{ Number of unfavorable outcomes}}{\text{Number of favorable outcomes}}=\frac{17}{5}[/tex]

Thus, the probability of her favorite team winning will be:

[tex]\begin{gathered} \frac{\text{ Number of favorable outcomes}}{\text{ Number of favorable outcomes+Number of unfavorable outcomes}} \\ =\frac{5}{5+17} \\ =\frac{5}{22} \end{gathered}[/tex]

The probability of her favorite team winning is 5/22.

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