If the odds against Deborah's winning first prize in a chess tournament are 2 to 11 , what is the probability of the event that she will win first prize? The probability that Deborah will win first place is \( \square \). (Type an integer or a fraction.)

To find the probability of Deborah winning first prize given the odds against her winning are 2 to 11, we can use the formula for probability based on odds. The odds against winning are the ratio of the number of ways she can lose to the number of ways she can win. In this case, for every 2 ways she can lose, there are 11 ways she can win. So, the total outcomes = 2 (losing) + 11 (winning) = 13. The probability \( P \) of winning is given by the number of winning outcomes divided by the total outcomes: \[ P(\text{win}) = \frac{11}{13} \] Thus, the probability that Deborah will win first place is \( \frac{11}{13} \).