Conquer the College Math Placement Challenge 2025 – Step Up and Shine!

To find the odds in favor of an event when given its probability, you can follow this process:

1. The probability of the event occurring is given as 0.25. This means that out of 4 total possible outcomes (since probability is often expressed as a fraction), the event occurs 1 time (1 out of 4).

2. The odds in favor of an event are expressed as a ratio of the number of successful outcomes to the number of unsuccessful outcomes. If the probability of the event is 0.25, then the probability of the event not occurring is 1 - 0.25, which equals 0.75. This can be thought of as 3 out of 4.

3. Therefore, the odds in favor of the event are calculated by comparing the successful outcomes to the unsuccessful outcomes: there is 1 successful outcome and 3 unsuccessful outcomes.

This results in odds of 1:3. Thus, the ratio reflects that for every 1 time the event happens, there are 3 times that it does not happen. This ratio shows clearly how likely the event is to occur relative to it not occurring, which is the correct approach to determining the odds.