Find the probability whose odds against are given in the problem.
Odds against are 5 to 7.
Answer is ________.
To find the probability whose odds against are given, we need to calculate the ratio of the unfavorable outcomes to the total possible outcomes, and then subtract it from 1.
In this case, the odds against are given as 5 to 7. To represent this as a ratio, we can write it as 5:7. This means that there are 5 unfavorable outcomes and 7 favorable outcomes.
To calculate the probability, we can divide the number of unfavorable outcomes by the total number of outcomes. In this case, the total number of outcomes is the sum of the favorable and unfavorable outcomes, which is 5 + 7 = 12.
So, the probability of an unfavorable outcome is 5/12.
To find the probability of a favorable outcome, we subtract the probability of an unfavorable outcome from 1. Therefore, the probability of a favorable outcome is 1 - 5/12 = 7/12.
Hence, the answer is 7/12.