If the odds against an event happening are 95749574 , what is the probability of the event happening?Write all answers as simplified fractions.
Question
If the odds against an event happening are 95749574 , what is the probability of the event happening?Write all answers as simplified fractions.
Solution
The odds against an event happening are usually given as a ratio of the form "odds against = number of unsuccessful outcomes : number of successful outcomes". In this case, you've given a single number, 95749574, which is a bit confusing.
However, if we assume that this number represents the odds against the event happening, then the probability of the event happening can be calculated as follows:
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The total number of outcomes is the sum of the successful and unsuccessful outcomes. In this case, it would be 95749574 (unsuccessful outcomes) + 1 (successful outcome) = 95749575.
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The probability of the event happening is then the number of successful outcomes divided by the total number of outcomes. In this case, it would be 1/95749575.
So, the probability of the event happening, as a simplified fraction, is 1/95749575.
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