When calculating a probability, we are comparing the number of positive outcomes to the number of possible outcomes. Calculating the odds O against an event occurring, however, is the ratio of negative outcomes to positive outcomes.
O=Negative Outcomes/Positive Outcomes
Now we can look at the spinner and find the number of positive and negative outcomes.
On the spinner we have numbers from 1 to 6.
1, 2, 3, 4, 5, 6
Therefore we know there are 6 possible outcomes. We want to find the odds against the spinner landing on 2, so the number of positive outcomes is equal to the number of parts numbered 2 on the spinner.
1, 2, 3, 4, 5, 6
Now we know that there is 1 positive outcome. The number of negative outcomes is the number of all parts not numbered 2, which is equal to the difference between the number of possible and positive outcomes.
Positive:& 1
Negative:& 6 - 1= 5
Let's form our ratio and then simplify it as much as possible.
