As given by the question
There are given that the ratio, 2: 7.
Now,
Tota number of wining favor is:
[tex]2+7=9[/tex]
Then,
According to the question, the odds are in favor.
So,
The probability of winning is:
[tex]\begin{gathered} P=\frac{\text{ value from the ratio}}{total\text{ number of wins}} \\ P=\frac{2}{9} \end{gathered}[/tex]
Hence, probability is:
[tex]P=\frac{2}{9}[/tex]
