If the odds against​ Deborah's winning first prize in a chess tournament are 2 to 7​, what is the probability of the event that she will win first​ prize?(Type an integer or a​ fraction.)

Accepted Solution

Answer:Probability of winning the prize will be 0.222Step-by-step explanation:Odd against Deborah's winning the first prize are 2 to 7Means ratio of unfavorable outcomes to favorable outcomes [tex]=\frac{2}{7}[/tex]Total number of outcomes = 2+7 =9We have top find the probability of winning the first prizeSo probability [tex]=\frac{number\ of\ favorable\ outcomes}{total\ outcomes}=\frac{2}{9}=0.222[/tex]