The odds in favour of an event are `3:2`. Find the probability of the occurrence of the event.

Explanation

To find the probability of the occurrence of an event when the odds in favor are given as 3:2, we can follow these steps:

### Step 1: Understand the Odds
The odds in favor of an event being 3:2 means that for every 3 favorable outcomes, there are 2 unfavorable outcomes.

### Step 2: Identify Favorable and Unfavorable Outcomes
From the odds:
- Favorable outcomes = 3
- Unfavorable outcomes = 2

### Step 3: Calculate Total Outcomes
To find the total number of outcomes, we add the favorable and unfavorable outcomes together:
\[ \text{Total outcomes} = \text{Favorable outcomes} + \text{Unfavorable outcomes} = 3 + 2 = 5 \]

### Step 4: Calculate Probability
The probability of the occurrence of the event is given by the formula:
\[ \text{Probability} = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{3}{5} \]

### Conclusion
Thus, the probability of the occurrence of the event is:
\[ \frac{3}{5} \]

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