When calculating a probability, we are comparing the number of positive outcomes to the number of possible outcomes. Calculating the odds O of an event occurring, however, is the ratio of positive outcomes to negative outcomes.
O=Positive Outcomes/Negative Outcomes
Now we can look at the spinner and find the number of positive and negative outcomes.
On the spinner there are 1 green, 2 red, and 3 blue parts. We want to find odds in favor of blue, so the number of positive outcomes is equal to the number of blue parts on the spinner. The number of negative outcomes is equal to the sum of all parts that are not blue.
Positive:& 3blue
Negative:& 2red + 1 green= 3not blue
Let's form our ratio and then simplify it as much as possible.