Final answer:
The odds in favor of an event with the probability of occurring being 2/5 are 2:3, after simplifying the ratio of the probability of the event happening to the probability of the event not happening.
Step-by-step explanation:
The probability that an event will occur is given as 2/5. This means the probability that the event will not occur is 1 - (2/5), which is 3/5. To determine the odds in favor of the event occurring, we contrast the probability of the event happening with the probability of it not happening. The odds in favor are the ratio of these probabilities, which is (2/5) : (3/5).
When we simplify this ratio by dividing both sides by the common factor 3/5, we get (2/5) / (3/5) = 2/3. Therefore, the odds in favor of the event occurring would be 2:3, which is represented as the ratio of the favorable outcomes to the unfavorable outcomes. So the correct answer is c) 2/3.