To answer this question, we will use the following expression to compute the empirical probability:
[tex]\frac{\text{Number of times an event occurs}}{\text{Total number of trials}}.[/tex]Now, the total number of trials is:
[tex]6+14+10=30.[/tex]The number of times each event occurs is 6, 14, and 10.
Therefore, the probability that you will:
1) win is:
[tex]\frac{14}{30},[/tex]2) lose is:
[tex]\frac{6}{30},[/tex]3) tie is:
[tex]\frac{10}{30}\text{.}[/tex]Answer:
a)
[tex]\frac{7}{15}\text{.}[/tex]b)
[tex]\frac{1}{5}\text{.}[/tex]c)
[tex]\frac{1}{3}\text{.}[/tex]