SOLUTION: The probability of an event E not occurring is 0.2. What are the odds in favor of E occurring?

Question 622636: The probability of an event E not occurring is 0.2. What are the odds in favor of E occurring?
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!
Hi, there--
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Odds are a part-to-part ratio of the probability of the event occurring to the probability in of it not occurring.
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There are only two possibilities: with the event E will occur or it will not. The probability of E not occurring is 0.2. This means the probability of E occurring is 0.8 since the sum of all possible probabilities is 1.0.
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Then the odds in favor of E occurring are
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[probability E will occur]:[probability E will not occur] = 0.8:0.2.
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You often we see odds rewritten as equivalent ratios with whole numbers. If we multiply both parts of the ratio by 5, we have
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0.8:0.2 = 4:1.
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We could say the odds are 4 to 1 in favor of event E occurring.
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I hope this helps! Feel free to email me if you still have questions about the solution.
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Ms.Figgy
math.in.the.vortex@gmail.com
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