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 5 Page 772

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

1:5

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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 On the number cube we have numbers from 1 to 6. 1, 2, 3, 4, 5, 6 Therefore we know that on the cube there are 6 numbers in total, which is the number of all possible outcomes. We want to find the number of outcomes such that the number rolled is equal to 4. 1, 2, 3, 4, 5, 6 Out of these, there is 1 such outcome, which is the number of positive outcomes. The number of negative outcomes is the difference between the number of all possible outcomes 6 and number of positive outcomes 1. Positive:& 1 Negative:& 6 - 1= 5 Let's form our ratio and then simplify it as much as possible.
O=Positive Outcomes/Negative Outcomes
O=1/5
The odds in favor of rolling a 4 on a cube are 15, which can also be written as 1:5.