To determine the probability of rain based on the given odds of 5:9, we can use the concept of odds in probability.
Odds are usually expressed as a ratio of favorable outcomes to unfavorable outcomes. In this case, the odds of rain are 5:9, which means there are 5 favorable outcomes (rain) for every 9 unfavorable outcomes (no rain).
To calculate the probability of rain, we need to convert the odds ratio into a probability ratio. The probability ratio is obtained by dividing the number of favorable outcomes by the total number of outcomes.
Total outcomes = favorable outcomes + unfavorable outcomes
In this case, the total number of outcomes is 5 (favorable) + 9 (unfavorable) = 14.
Now, let's calculate the probability of rain:
Probability of rain = Favorable outcomes / Total outcomes
= 5 / 14
≈ 0.3571 or 35.71% (rounded to two decimal places)
Therefore, the probability that it will rain today based on the given odds of 5:9 is approximately 0.3571 or 35.71%.