Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
7. Theoretical and Experimental Probability
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Exercise 27 Page 773

The odds of an event occurring is a different ratio than the probability of the event occurring.

1:5

Practice makes perfect

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.

We want to find odds in favor of a multiple of 5, so the number of positive outcomes is equal to the number of parts on the spinner which are numbered with a multiple of 5. To find those multiples, we need to look for the numbers with the last digit of the number being either 0 or 5. 1, 2, 3, 4, 5, 6 The number of negative outcomes is the number of all parts which are not numbered with a multiple of 5. 1, 2, 3, 4, 5, 6 Now we know how many outcomes are positive and negative. Positive:& 1multiple of5 Negative:& 5not a muliple of5 Let's form our ratio.

O=Positive Outcomes/Negative Outcomes
O=1/5

The odds of the spinner landing on a multiple of five are equal to 15, which can be also written as 1:5.