If the odds in favor of an event A are 3 to 1, what is the probability associated with event A occurring?
3/4
To determine the probability associated with event A occurring, we need to understand what it means for the odds to be "3 to 1."
The odds in favor of an event is a ratio that compares the number of favorable outcomes to the number of unfavorable outcomes. In this case, the odds are 3 to 1, which means that for every 3 favorable outcomes, there is 1 unfavorable outcome.
To calculate the probability associated with event A occurring, we can use the formula:
Probability = Number of Favorable Outcomes / Total Number of Outcomes
Since the odds are 3 to 1, we know that there are 3 favorable outcomes for every 4 total outcomes (3 favorable outcomes + 1 unfavorable outcome).
Therefore, the probability associated with event A occurring is:
Probability = 3 / 4
Simplifying this fraction, we get:
Probability = 0.75
So, the probability of event A occurring is 0.75, or 75%.